General Scope: Chronic kidney disease (CKD), also known as chronic renal disease. Chronic kidney disease involves conditions that damage your kidneys and decrease their ability to keep you healthy. Many of the early signs of kidney failure can be confused with other illnesses and conditions. This makes diagnosis difficult ! Early detection and treatment can often keep chronic kidney disease from getting worse.
Description of dataset: This Chronic Kidney Disease dataset is downloaded from Kaggle. it’s collected over a period of 2 months. It contains measures of 23 features for 157 hospital patients. We have 12 numerical variables and 9 nominal variables. We have processed some data cleaning with excel to get this final result ; we removed missing values, changed column names to appear more clear and kept the most significant variables.
Simple Variables description:
blood pressure : The diastolic pressure, is the pressure in the arteries when the heart rests between beats. Normal: Lower than 80 Stage 1 hypertension: 80-89 Stage 2 hypertension: 90 or more Hypertensive crisis: 120 or more.
specific gravity : Urine specific gravity is a laboratory test that shows the concentration of all chemical particles in the urine.
albumin : it measures the amount of albumin in a urine sample.
blood glucose random : a blood test done at a random moment of the day to check glucose (sugar) levels. values of 200 mg/dL or above can indicate diabetes.
blood urea : measures the amount of nitrogen in your blood that comes from the waste product urea.In general, around 6 to 24 mg/dL (2.1 to 8.5 mmol/L) is considered normal.
serum creatinine : Creatinine is a waste product that comes from the normal wear and tear on muscles of the body.
sodium : A normal blood sodium level is between 135 and 145 milliequivalents per liter (mEq/L). Hyponatremia occurs when the sodium in your blood falls below 135 mEq/L.
potassium : normally, your blood potassium level is 3.6 to 5.2 millimoles per liter (mmol/L).
hemoglobin : A hemoglobin test measures the amount of hemoglobin in your blood.
packed cell volume : it’s a measurement of the proportion of blood that is made up of cells (percentage).
white blood cell count : Anything below 4,000 is typically considered to be a low white blood cell count.
red blood cell count : Red blood cells are one of the major components of blood, along with white blood cells and platelets.
bacteria : Presence of bacteria in urine .
pus cell : Presence of pus cells in urine defined as pyuria is an important accompaniment of bacteriuria which may be asymptomatic or can indicate toward underlying urinary tract infection.
diabetes mellitus : Diabetes happens when your body can’t take up sugar (glucose) into its cells to use as fuel.
coronary artery disease : Coronary artery disease develops when the coronary arteries become damaged or diseased.
appetite : Describes the desire to eat food.
pedal edema : Pedal edema causes an abnormal accumulation of fluid in the ankles, feet, and lower legs causing swelling of the feet and ankles.
anemia : it’s the condition in which you lack enough healthy red blood cells to carry adequate oxygen to your body’s tissues.
chronic kidney disease : classification of whether the patient has chronic kidney disease.
knitr::opts_chunk$set(message = FALSE)
library(knitr) # For knitting document and include_graphics function
library(ggplot2) # For plotting
library(png) #for grabbing the dimensions of png files
library(imager)## Le chargement a nécessité le package : magrittr##
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library(reshape2)
library(corrgram)##
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## baseballlibrary(FactoMineR)
library(factoextra)## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBalibrary(googleVis)## Creating a generic function for 'toJSON' from package 'jsonlite' in package 'googleVis'##
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## suppressPackageStartupMessages(library(googleVis))
Import Data and General Exploratory
setwd("C:/Users/Amal/Desktop")
library(readxl)
data=read_excel("C:/Users/Amal/Desktop/CKD.xlsx")
View(data)
str(data)## tibble [157 x 21] (S3: tbl_df/tbl/data.frame)
## $ age : num [1:157] 48 53 63 68 61 48 69 73 73 46 ...
## $ specific gravity : num [1:157] 1 1.02 1.01 1.01 1.01 ...
## $ albumin : num [1:157] 4 2 3 3 2 4 3 0 2 1 ...
## $ blood glucose random : num [1:157] 117 70 380 157 173 95 264 70 253 163 ...
## $ blood urea : num [1:157] 56 107 60 90 148 163 87 32 142 92 ...
## $ serum creatinine : num [1:157] 3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
## $ sodium : num [1:157] 111 114 131 130 135 136 130 125 138 141 ...
## $ potassium : num [1:157] 2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
## $ hemoglobin : num [1:157] 11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
## $ packed cell volume : num [1:157] 32 29 32 16 24 32 37 29 33 28 ...
## $ white blood cell count : num [1:157] 6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
## $ red blood cell count : num [1:157] 3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
## $ bacteria : chr [1:157] "notpresent" "notpresent" "notpresent" "present" ...
## $ pus cell : chr [1:157] "abnormal" "abnormal" "abnormal" "abnormal" ...
## $ hypertension : num [1:157] 1 1 1 1 1 1 1 1 1 1 ...
## $ diabetes mellitus : num [1:157] 0 1 1 1 1 0 1 1 1 1 ...
## $ coronary artery disease: num [1:157] 0 0 0 1 1 0 1 0 1 0 ...
## $ appetite : chr [1:157] "poor" "poor" "poor" "poor" ...
## $ pedal edema : num [1:157] 1 0 1 1 1 0 1 1 0 0 ...
## $ anemia : num [1:157] 1 1 0 0 1 1 0 0 0 0 ...
## $ chronic kidney disease : chr [1:157] "sick" "sick" "sick" "sick" ...We can see at first glimpse that some changes are to be made ! let’s go ahead and change the type of the variables bacteria, pus cell, hypertension, diabetes mellitus, coronary artery disease, appetite, pedal edema, anemia and chronic kidney disease into type factor.
library(DT)
datatable(data, options = list(
searching = FALSE,
pageLength = 5,
lengthMenu = c(5, 15, 35, 50)
))data$bacteria=as.factor(data$bacteria)
data$`pus cell`=as.factor(data$`pus cell`)
data$hypertension=as.factor(data$hypertension)
data$`diabetes mellitus`=as.factor(data$`diabetes mellitus`)
data$`coronary artery disease`=as.factor(data$`coronary artery disease`)
data$appetite=as.factor(data$appetite)
data$`pedal edema`=as.factor(data$`pedal edema`)
data$anemia=as.factor(data$anemia)
data$`chronic kidney disease`=as.factor(data$`chronic kidney disease`)check the result !
str(data)## tibble [157 x 21] (S3: tbl_df/tbl/data.frame)
## $ age : num [1:157] 48 53 63 68 61 48 69 73 73 46 ...
## $ specific gravity : num [1:157] 1 1.02 1.01 1.01 1.01 ...
## $ albumin : num [1:157] 4 2 3 3 2 4 3 0 2 1 ...
## $ blood glucose random : num [1:157] 117 70 380 157 173 95 264 70 253 163 ...
## $ blood urea : num [1:157] 56 107 60 90 148 163 87 32 142 92 ...
## $ serum creatinine : num [1:157] 3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
## $ sodium : num [1:157] 111 114 131 130 135 136 130 125 138 141 ...
## $ potassium : num [1:157] 2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
## $ hemoglobin : num [1:157] 11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
## $ packed cell volume : num [1:157] 32 29 32 16 24 32 37 29 33 28 ...
## $ white blood cell count : num [1:157] 6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
## $ red blood cell count : num [1:157] 3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
## $ bacteria : Factor w/ 2 levels "notpresent","present": 1 1 1 2 1 1 1 1 1 1 ...
## $ pus cell : Factor w/ 2 levels "abnormal","normal": 1 1 1 1 1 1 1 2 1 2 ...
## $ hypertension : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
## $ diabetes mellitus : Factor w/ 2 levels "0","1": 1 2 2 2 2 1 2 2 2 2 ...
## $ coronary artery disease: Factor w/ 2 levels "0","1": 1 1 1 2 2 1 2 1 2 1 ...
## $ appetite : Factor w/ 2 levels "good","poor": 2 2 2 2 2 1 1 1 1 1 ...
## $ pedal edema : Factor w/ 2 levels "0","1": 2 1 2 2 2 1 2 2 1 1 ...
## $ anemia : Factor w/ 2 levels "0","1": 2 2 1 1 2 2 1 1 1 1 ...
## $ chronic kidney disease : Factor w/ 2 levels "notsick","sick": 2 2 2 2 2 2 2 2 2 2 ...We now can get a descriptive overview of the dataset.
Exploratory Data Analysis
summary(data)## age specific gravity albumin blood glucose random
## Min. : 6.0 Min. :1.005 Min. :0.0000 Min. : 70.0
## 1st Qu.:39.0 1st Qu.:1.020 1st Qu.:0.0000 1st Qu.: 97.0
## Median :50.0 Median :1.020 Median :0.0000 Median :114.0
## Mean :49.5 Mean :1.020 Mean :0.7962 Mean :130.2
## 3rd Qu.:60.0 3rd Qu.:1.025 3rd Qu.:1.0000 3rd Qu.:131.0
## Max. :83.0 Max. :1.025 Max. :4.0000 Max. :490.0
## blood urea serum creatinine sodium potassium
## Min. : 10.00 Min. : 0.400 Min. :111 Min. : 2.500
## 1st Qu.: 26.00 1st Qu.: 0.700 1st Qu.:135 1st Qu.: 3.700
## Median : 40.00 Median : 1.100 Median :139 Median : 4.500
## Mean : 52.69 Mean : 2.194 Mean :139 Mean : 4.644
## 3rd Qu.: 50.00 3rd Qu.: 1.700 3rd Qu.:144 3rd Qu.: 4.900
## Max. :309.00 Max. :15.200 Max. :150 Max. :47.000
## hemoglobin packed cell volume white blood cell count red blood cell count
## Min. : 3.10 Min. : 9.00 Min. : 3800 Min. :2.100
## 1st Qu.:12.60 1st Qu.:39.00 1st Qu.: 6500 1st Qu.:4.500
## Median :14.30 Median :44.00 Median : 7800 Median :5.000
## Mean :13.71 Mean :41.96 Mean : 8461 Mean :4.896
## 3rd Qu.:15.80 3rd Qu.:48.00 3rd Qu.: 9700 3rd Qu.:5.600
## Max. :17.80 Max. :54.00 Max. :26400 Max. :8.000
## bacteria pus cell hypertension diabetes mellitus
## notpresent:145 abnormal: 29 0:123 0:130
## present : 12 normal :128 1: 34 1: 27
##
##
##
##
## coronary artery disease appetite pedal edema anemia chronic kidney disease
## 0:146 good:139 0:137 0:141 notsick:115
## 1: 11 poor: 18 1: 20 1: 16 sick : 42
##
##
##
## Univariate Analysis
The simplest display for the shape of a distribution of data can be done using an histogram, let’s check the histograms for our numerical variables.
par(mfrow=c(2,2))
hist(data$age, prob=T,col='blue')
hist(data$`specific gravity`, prob=T, col='orchid4')
hist(data$albumin, prob=T, col='palegreen1')
hist(data$`blood glucose random`, prob=T, col='lightyellow1')
hist(data$`blood urea`, prob=T, col='indianred2' )
hist(data$`serum creatinine`, prob=T, col='lightskyblue4' )
hist(data$sodium, prob=T, col='turquoise1')
hist(data$potassium, prob=T, col='rosybrown1')
hist(data$hemoglobin, prob=T, col='thistle4' )
hist(data$`packed cell volume`, prob=T, col='mintcream' )
hist(data$`white blood cell count`, prob=T, col='slategray3')
hist(data$`red blood cell count`, prob=T, col='plum')
Some variables show some very distant outliers (red blood cell count + blood glucose random).
Let’s check the distribution of our categorical variables now.
par(mfrow=c(2,2))
barplot(table(data$bacteria))
barplot(table(data$`pus cell`))
barplot(table(data$hypertension))
barplot(table(data$`diabetes mellitus`))
barplot(table(data$`coronary artery disease`))
barplot(table(data$appetite))
barplot(table(data$`pedal edema`))
barplot(table(data$anemia))
barplot(table(data$`chronic kidney disease`))
Certain abnormalities/diseases seem relatively commun in this dataset, such as diabetes and hypertension.
Bivariate Analysis
ggplot(data, aes(x=data$`chronic kidney disease`, y=data$age)) +
geom_boxplot(fill='steelblue')## Warning: Use of `data$`chronic kidney disease`` is discouraged. Use `chronic
## kidney disease` instead.## Warning: Use of `data$age` is discouraged. Use `age` instead.
The x-axis displays the disease classification and the y-axis displays the distribution of CKD scored by each age range. We can see that the older the patient gets, the more he is at risk for developing chronic kidney disease.
library(ggcorrplot)## Warning: le package 'ggcorrplot' a été compilé avec la version R 4.1.3ggcorrplot(cor(data[1:12]))
>Positive Correlation : hemoglobin -> red_blood_cell_count,packed_cell_volume, specific_gravity serum_creatinine -> blood_urea
Negative correlation : Albumin -> hemoglobin, packed_cell_volume,specific_gravity,red_blood_cell_count serum_creatinine -> sodium
library(plotly)
pal <- c("red", "blue")
fig <- plot_ly(data = data, x = ~hemoglobin, y = ~`packed cell volume`, color = ~`chronic kidney disease`, colors = pal)
figWe see through this plot that those having a normal range of hemoglobin (13 to 17.8) mostly don’t have chronic kidney disease as well as those who have packed_cell volume range >40 to 55.
pal <- c("rosybrown1", "plum")
fig <- plot_ly(data = data, x = ~`specific gravity`, y = ~`red blood cell count`, color = ~`chronic kidney disease`, colors = pal )
figWe can see that higher the specific gravity, lesser the risk of having chronic kidney disease.
Multivariate Data Analysis
PCA
library(FactoMineR)
res.PCA=PCA(data, scale.unit = TRUE, quali.sup = 13:21) 
We can see that the first component (dim1) has a high value for packed cell volume, hemoglobin and specific gravity which indicates that this principle component places most of its emphasis on blood composition.
Albumin, serum creatinine and blood urea are in the opposite direction so we can say that they are negatively related to packed cell volume, hemoglobin and specific gravity.
Overall, we see that the first dimension splits apart variables that are related to blood composition (the right) from variables that are related to urine composition.
At the top, white blood count cell, age and blood glocose random have large positive values on the second component (dim2).
Etude des individus
res.PCA$ind$coord ## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 -3.7683949 -0.100084476 -1.734525138 -1.091999255 -1.526188168
## 2 -3.5398020 -0.349631920 -2.227291405 -0.243337354 1.259641418
## 3 -3.4925323 0.867239529 1.855600223 -1.099860986 -3.145963597
## 4 -5.1663199 0.519277102 0.134446891 0.537107869 0.653098972
## 5 -3.9243379 -0.114534751 0.163615758 -0.116564135 0.599224445
## 6 -3.1393465 -1.564031182 -0.933071915 -0.829419088 1.243733570
## 7 -3.0620741 1.354692409 0.929896409 -0.554674343 -1.316403204
## 8 -2.7845873 2.762696554 -1.028687398 1.452428867 1.474072177
## 9 -2.7974659 0.021209292 1.577459844 -0.927608940 0.019613345
## 10 -2.9121795 1.182219433 -0.605073789 1.359508962 0.285552864
## 11 -3.3129978 -0.869579289 -0.348897351 -0.892387234 0.386117263
## 12 -4.1285895 -1.158865676 -0.464310091 -1.027047571 -0.529120372
## 13 -5.9238909 -2.805578293 -0.248371812 -1.733086020 1.681630751
## 14 -1.8084646 1.768372160 1.359256269 -0.112076007 -1.518500572
## 15 -0.5397228 1.766752873 0.374844416 0.439203309 -1.319326553
## 16 -3.2876632 0.392323885 1.107200841 -1.202392347 -0.887272147
## 17 -4.0217825 1.118321816 1.505543302 -1.148355918 -1.097933094
## 18 -3.2686296 1.188434623 -0.139258539 0.498298733 1.497495101
## 19 -5.9107148 -7.534064228 6.912451360 5.678063214 0.428518700
## 20 -5.4934678 0.158174906 -1.432360321 0.837265891 1.713438541
## 21 -1.6075758 -0.006249705 0.284579908 -1.143781867 0.434917693
## 22 -2.0657881 0.666080422 -0.043740571 0.346367169 0.335510731
## 23 -4.2492031 2.667155847 0.091479758 1.279873255 -1.244002424
## 24 -6.6820828 0.289423439 -0.741802679 -0.396555153 0.488980053
## 25 -0.8657805 0.106651757 0.325920768 -0.146263467 0.498089803
## 26 -3.7854618 1.001786591 -0.366275775 0.140345146 1.536420302
## 27 -3.3595357 0.221890360 -2.497659083 1.668468058 -1.079749770
## 28 -1.8123697 1.654453582 -1.472330026 2.473842973 1.425936301
## 29 -3.7647555 0.604540984 1.120348006 -0.235959355 -1.085178632
## 30 -2.3874230 0.377929136 -2.723646219 3.101930823 -0.851078902
## 31 -5.4510720 -0.836435456 -1.817327442 -1.037031837 0.441805856
## 32 -3.3433115 3.978899816 -0.415845454 3.696479057 0.657435000
## 33 -5.6005410 -0.306332148 0.246025473 -0.443614910 -0.028023731
## 34 -4.5356523 -1.025930941 -0.368244300 -0.445122822 -0.823005323
## 35 -2.9159813 0.273478391 0.611991724 -0.285363718 -1.109617787
## 36 -4.0027696 2.504738616 1.815527263 0.195789708 -3.654971570
## 37 -3.6757114 0.088209176 0.448745892 -0.422078111 0.261330107
## 38 -6.1874753 0.807683380 -1.544865840 -0.564714800 -0.039262512
## 39 -5.0554124 1.046108052 -0.276841569 -0.444739253 -0.436829935
## 40 -5.9464883 -2.914686308 -1.530833603 -2.001085737 1.012723041
## 41 -2.4491510 2.111765053 2.044886453 0.228773043 -3.047573722
## 42 -8.6642848 -2.730968973 -0.757969518 -1.710043289 1.044053399
## 43 0.9909621 0.215671139 -0.408666442 0.785890434 -0.268611789
## 44 2.3914289 -0.524938472 -0.795839610 1.124100768 0.185615439
## 45 1.5661088 -0.086488720 -0.063404890 0.422895061 0.756629763
## 46 1.4295227 -0.161129164 0.292274222 -0.640756410 -0.014581778
## 47 1.0340010 0.022326265 -0.378333136 -0.217650290 0.368440646
## 48 1.9667522 -0.047567397 -0.500704479 0.504940018 -0.259692596
## 49 1.1742380 0.920608981 0.717684621 0.651373820 0.724551485
## 50 1.0639930 -0.041689512 -0.962068625 0.226661876 -0.220255986
## 51 1.1711457 0.145596200 -0.507041445 0.179478309 -0.152720293
## 52 1.2378013 -1.140749454 -0.388743927 -0.465873197 -0.869137323
## 53 1.1778703 0.039866377 -0.486538665 0.782647773 -0.482740866
## 54 1.0236260 -0.256899293 0.164739562 -0.621442413 -0.396608946
## 55 0.9577119 0.281556547 0.013742983 -0.536389340 -0.218693132
## 56 0.8947432 -0.100996569 -0.169792316 0.108728141 -0.180908692
## 57 1.1172445 -0.453161350 0.114754975 -0.442627971 -0.763668796
## 58 1.2417112 0.572117898 0.257359094 0.639449151 0.662846582
## 59 0.4601491 0.050219542 0.247053844 -0.351358820 -0.257793983
## 60 1.2921383 0.362931764 0.116548192 0.389313087 0.418322201
## 61 1.7979903 -0.848932915 -0.564775619 0.518600037 -0.727482621
## 62 1.4119138 -0.823498333 -0.805387268 0.632237336 -0.421359200
## 63 1.2133522 -0.423190303 -0.650227321 1.026832424 0.096735435
## 64 1.0974645 -0.261257384 0.473889771 -0.606550991 -0.223607043
## 65 0.9999418 -0.382319294 0.491165689 -0.722709734 -0.420963294
## 66 1.2213059 -0.614618050 0.006612825 -0.377002240 -0.211720042
## 67 1.1829901 0.186199695 -0.010173240 0.250492775 0.104812149
## 68 2.0182199 -0.950224715 -0.472525028 0.236460002 -1.204258039
## 69 1.3877458 0.249613308 0.621952173 0.185192198 0.555477519
## 70 0.8441682 -1.135515209 -1.155512119 0.040560214 -1.296160742
## 71 2.3393005 -0.690943327 -0.482011796 -0.100378762 -0.396486661
## 72 1.1890014 0.096870677 0.460709121 -1.178117240 0.146513460
## 73 1.3147915 0.925824252 0.837664909 -0.058150917 1.137571878
## 74 1.4372454 -0.345977445 -0.081566457 0.044106135 -0.110623234
## 75 1.2069090 -0.389866052 0.112351356 -0.101608971 0.014933804
## 76 1.5077274 -0.219352000 -0.846693799 0.846764792 -0.275577164
## 77 1.3770319 -0.465334311 0.044151473 -0.117233806 -0.649797939
## 78 0.6799705 -0.483402155 -0.967219399 0.323393549 -0.198015354
## 79 1.0763953 1.530371451 1.172365743 -0.096752487 1.065120306
## 80 1.7094937 -0.344819227 0.136344828 0.138437470 0.331910212
## 81 0.8191125 -0.750350430 -0.688002903 -0.002158956 -0.588239633
## 82 1.0701739 0.058912088 -0.244666678 0.473760175 -0.396477690
## 83 1.5394118 -0.432801360 0.565663525 -0.986575597 -0.577613211
## 84 1.0406843 0.459566240 0.429756549 0.252686109 -0.118857668
## 85 1.1414800 -0.736868967 -0.479977906 -0.102605463 0.241278335
## 86 0.8513171 0.487124000 -0.243229876 0.834225201 0.334588287
## 87 1.4900730 0.217560267 0.769387631 -0.050900208 0.319671539
## 88 1.5153781 0.261580860 0.460394706 -0.166244635 0.171288469
## 89 1.1196504 -0.093073184 -0.030882809 0.788875240 0.101703835
## 90 0.4913399 0.183257046 0.179785531 -0.298056336 0.488689689
## 91 1.7964215 0.292181832 0.432448740 -0.851417492 0.133035392
## 92 1.4408064 0.670466860 0.566735397 0.303561135 0.735374173
## 93 0.7782940 0.921376457 0.519698427 -0.221149105 0.790574634
## 94 1.2787973 -0.239796790 0.176595608 0.296831470 -0.039643485
## 95 1.3931353 0.083297308 0.196799015 -0.906861085 0.176841254
## 96 1.0231311 0.065160030 -0.001546422 0.176442600 -0.022766081
## 97 1.6491655 0.048397029 -0.425576502 1.303298204 0.060974540
## 98 1.8346766 -0.411920663 -0.647480529 0.380403851 0.154170667
## 99 1.0654433 0.038357325 0.944683197 -0.260661913 0.533394374
## 100 1.8752452 -1.320077857 -0.692308637 -0.295378765 -1.069225584
## 101 0.7707383 0.858436416 0.398805762 0.189731005 0.303679475
## 102 1.8877103 -0.448719762 -0.148673456 -0.037640094 0.181455005
## 103 1.3470125 0.138792824 1.142939867 -1.047896753 -0.036127630
## 104 1.0019626 -0.774329160 -1.289877162 0.198129333 -0.658545257
## 105 1.6795771 -0.783260337 -0.552492109 0.234330828 -0.264958404
## 106 0.9513775 0.227281421 1.187626942 -0.097993152 0.828470447
## 107 1.5594141 -0.181531435 -0.352809753 -0.206806824 -0.212112315
## 108 1.8518758 -0.819082962 -0.476762875 -0.462539673 -0.626150412
## 109 0.9998838 0.781061136 0.811092673 -0.263377246 0.769252608
## 110 1.6636321 -0.802132004 -1.277148626 0.655786504 -0.583742815
## 111 1.9511511 -0.372192309 0.151797141 0.119314339 -0.014671696
## 112 1.7672554 -0.064916936 -0.280322678 0.154984919 -0.299202706
## 113 1.0275542 -0.159614077 -1.247373154 0.639707258 -0.143737349
## 114 1.1845169 -0.581099033 -0.249403296 0.066635622 -0.385975516
## 115 1.4761201 -0.685690667 0.215001693 0.099207637 0.037824655
## 116 1.7087897 -0.631624754 -0.239871155 0.567218903 -0.159259091
## 117 1.6901870 -0.963160487 -0.545340749 0.498243995 -0.739869721
## 118 2.3268249 -0.658431277 -0.364434259 0.280172190 -0.097750637
## 119 0.7656034 1.100034565 0.233679279 0.159405159 1.109273718
## 120 0.9976387 -0.305924859 -0.100218902 -0.688258102 -0.484859486
## 121 1.5350582 0.416959424 1.285319711 -1.227596734 0.914580398
## 122 1.5775225 -0.833120885 -0.730568866 -0.279689819 -0.525282992
## 123 1.9197766 -0.851298757 -0.993223659 -0.263603501 -0.715896910
## 124 1.2947135 -0.168454436 -0.652404740 1.177835371 0.342931905
## 125 0.6911492 0.892340642 0.584190819 -0.565674374 1.026484508
## 126 1.5086625 0.823153694 0.004064794 0.169683687 1.007877385
## 127 1.8483084 0.332373631 0.829897685 -1.120747980 0.344336127
## 128 1.8833897 -0.493263931 -0.652595829 0.923716518 0.220410554
## 129 0.5108699 1.263273474 0.810156142 -0.331736273 1.244653632
## 130 1.1845109 0.778288196 0.384146140 -0.623899532 0.905959128
## 131 2.2635603 -1.107345669 -0.452205730 0.283278934 -0.151243798
## 132 1.4908221 1.227990869 1.267942361 0.036620458 1.060619641
## 133 0.9378054 0.668025699 0.449577379 -0.158404719 0.605949172
## 134 1.5362471 0.856060236 1.233752200 -0.932108298 1.243218345
## 135 1.2460029 0.804925094 0.625621247 -0.263993807 1.182109750
## 136 2.1394872 0.600713494 0.387745744 -0.120632446 0.813222133
## 137 1.1213850 0.164455341 0.921673400 -0.550876172 0.564622046
## 138 1.8310322 -0.230589483 0.297191367 -1.205602381 0.572435317
## 139 1.3203678 0.271343962 0.410874295 -0.849404201 -0.033838482
## 140 2.3820677 -0.613731199 -0.075288785 -0.522677637 0.039084410
## 141 1.0569118 0.144626486 1.561008859 -1.343194270 0.943495605
## 142 0.8795618 1.042878522 0.743510591 0.711998555 0.554848336
## 143 1.6185983 0.540986676 1.019024967 -0.284122942 0.373501712
## 144 2.0324670 -0.472091813 -0.060381188 -0.611627484 -0.038732326
## 145 2.1300148 -1.223832957 -1.422830201 0.329290133 -1.076139947
## 146 1.7336038 0.587620941 -0.049401699 0.095096380 0.223915069
## 147 2.0326865 -0.538926994 -0.056336082 -0.082644085 -0.214305056
## 148 1.6127589 -0.218022470 -0.109319691 -0.693633351 0.040947567
## 149 2.1759518 -0.751694021 -0.447572195 -0.146373105 -0.234346190
## 150 1.1579055 0.122941169 0.832528790 -0.514935459 0.078453264
## 151 1.5059057 -0.338862684 -0.093184299 -0.044012000 -0.028177032
## 152 0.3981430 0.306238225 0.143511474 0.334968948 0.007296049
## 153 1.2710431 0.101328609 1.092940797 -0.223326861 0.021571120
## 154 2.4163382 -0.253471252 -0.501671262 -0.232069261 0.155698145
## 155 1.7186480 -1.158895726 -1.411826401 0.561535468 -1.388681304
## 156 1.6349890 -1.261099081 -1.284238208 0.488042452 -0.968696427
## 157 2.0658547 0.301493296 0.529148305 -0.748444833 -0.051988351res.PCA$ind$cos2 ## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 0.45773369 3.228743e-04 9.697533e-02 3.843658e-02 7.507861e-02
## 2 0.51970137 5.070118e-03 2.057548e-01 2.455916e-03 6.580968e-02
## 3 0.43194581 2.663340e-02 1.219319e-01 4.283749e-02 3.504740e-01
## 4 0.83430803 8.428731e-03 5.650220e-04 9.017515e-03 1.333281e-02
## 5 0.83977163 7.153243e-04 1.459751e-03 7.408978e-04 1.957976e-02
## 6 0.47769672 1.185672e-01 4.219918e-02 3.334431e-02 7.497707e-02
## 7 0.62204026 1.217499e-01 5.736622e-02 2.041095e-02 1.149648e-01
## 8 0.24373059 2.399135e-01 3.326252e-02 6.630986e-02 6.830081e-02
## 9 0.56765127 3.262904e-05 1.804964e-01 6.241398e-02 2.790329e-05
## 10 0.54862695 9.041429e-02 2.368414e-02 1.195653e-01 5.274896e-03
## 11 0.80962284 5.577747e-02 8.979162e-03 5.874179e-02 1.099712e-02
## 12 0.70157310 5.527589e-02 8.873312e-03 4.341608e-02 1.152334e-02
## 13 0.66189312 1.484631e-01 1.163532e-03 5.665184e-02 5.333779e-02
## 14 0.27716775 2.650147e-01 1.565761e-01 1.064506e-03 1.954126e-01
## 15 0.02358755 2.527511e-01 1.137741e-02 1.561970e-02 1.409438e-01
## 16 0.69036291 9.830878e-03 7.829890e-02 9.234114e-02 5.028246e-02
## 17 0.67078750 5.186584e-02 9.400139e-02 5.468911e-02 4.999189e-02
## 18 0.60429207 7.988515e-02 1.096880e-03 1.404414e-02 1.268371e-01
## 19 0.19675309 3.196688e-01 2.690951e-01 1.815691e-01 1.034144e-03
## 20 0.75605446 6.268088e-04 5.140016e-02 1.756252e-02 7.355242e-02
## 21 0.12182155 1.841197e-06 3.817594e-03 6.166910e-02 8.916520e-03
## 22 0.55419126 5.761578e-02 2.484603e-04 1.557979e-02 1.461844e-02
## 23 0.60262643 2.374269e-01 2.793079e-04 5.467227e-02 5.165063e-02
## 24 0.79188396 1.485611e-03 9.759209e-03 2.788978e-03 4.240530e-03
## 25 0.13761046 2.088199e-03 1.950114e-02 3.927422e-03 4.554610e-02
## 26 0.49100761 3.438752e-02 4.596919e-03 6.749091e-04 8.088548e-02
## 27 0.43011622 1.876308e-03 2.377353e-01 1.060872e-01 4.442972e-02
## 28 0.17907673 1.492295e-01 1.181832e-01 3.336490e-01 1.108526e-01
## 29 0.73359030 1.891610e-02 6.496597e-02 2.881738e-03 6.095123e-02
## 30 0.20582705 5.157800e-03 2.678830e-01 3.474625e-01 2.615673e-02
## 31 0.83322191 1.961832e-02 9.261114e-02 3.015651e-02 5.473433e-03
## 32 0.24331030 3.446139e-01 3.764183e-03 2.974290e-01 9.408328e-03
## 33 0.84243625 2.520358e-03 1.625688e-03 5.285540e-03 2.109254e-05
## 34 0.75938930 3.885270e-02 5.005610e-03 7.313827e-03 2.500289e-02
## 35 0.74460810 6.549442e-03 3.279815e-02 7.131088e-03 1.078214e-01
## 36 0.37244298 1.458356e-01 7.662035e-02 8.910833e-04 3.105322e-01
## 37 0.70350730 4.051476e-04 1.048544e-02 9.276229e-03 3.556024e-03
## 38 0.77129870 1.314250e-02 4.808141e-02 6.424717e-03 3.105645e-05
## 39 0.87827508 3.760715e-02 2.633783e-03 6.797173e-03 6.557558e-03
## 40 0.67039276 1.610615e-01 4.442876e-02 7.591709e-02 1.944418e-02
## 41 0.22578743 1.678649e-01 1.574008e-01 1.970055e-03 3.496046e-01
## 42 0.82321809 8.178676e-02 6.300180e-03 3.206739e-02 1.195349e-02
## 43 0.24677618 1.168889e-02 4.196885e-02 1.552077e-01 1.813173e-02
## 44 0.55723747 2.684987e-02 6.171297e-02 1.231221e-01 3.357017e-03
## 45 0.58719008 1.790828e-03 9.624549e-04 4.281541e-02 1.370572e-01
## 46 0.41514209 5.274277e-03 1.735384e-02 8.340663e-02 4.319521e-05
## 47 0.37497633 1.748212e-04 5.020081e-02 1.661424e-02 4.760987e-02
## 48 0.61409865 3.592176e-04 3.980172e-02 4.047794e-02 1.070676e-02
## 49 0.31880222 1.959564e-01 1.190903e-01 9.810016e-02 1.213801e-01
## 50 0.37586341 5.770403e-04 3.073015e-01 1.705727e-02 1.610675e-02
## 51 0.64527219 9.972894e-03 1.209506e-01 1.515462e-02 1.097273e-02
## 52 0.32946422 2.798253e-01 3.249628e-02 4.667044e-02 1.624363e-01
## 53 0.36710622 4.205430e-04 6.263708e-02 1.620800e-01 6.166304e-02
## 54 0.36853081 2.321224e-02 9.545243e-03 1.358291e-01 5.532433e-02
## 55 0.38479614 3.325770e-02 7.923608e-05 1.207039e-01 2.006463e-02
## 56 0.49792649 6.344271e-03 1.793100e-02 7.352794e-03 2.035576e-02
## 57 0.36489424 6.003110e-02 3.849582e-03 5.727278e-02 1.704828e-01
## 58 0.37688877 8.000978e-02 1.619016e-02 9.995029e-02 1.073985e-01
## 59 0.11197152 1.333693e-03 3.227704e-02 6.528482e-02 3.514439e-02
## 60 0.54118186 4.269482e-02 4.402874e-03 4.912734e-02 5.672141e-02
## 61 0.58314148 1.300008e-01 5.753752e-02 4.851369e-02 9.546507e-02
## 62 0.36791713 1.251581e-01 1.197135e-01 7.377240e-02 3.276715e-02
## 63 0.33793436 4.110834e-02 9.704854e-02 2.420236e-01 2.147978e-03
## 64 0.32105823 1.819449e-02 5.986287e-02 9.807029e-02 1.332827e-02
## 65 0.29670442 4.337375e-02 7.158641e-02 1.549895e-01 5.258513e-02
## 66 0.43000977 1.089030e-01 1.260676e-05 4.097484e-02 1.292270e-02
## 67 0.44798356 1.109833e-02 3.312977e-05 2.008585e-02 3.516601e-03
## 68 0.57693776 1.278924e-01 3.162581e-02 7.919675e-03 2.054145e-01
## 69 0.45430082 1.469803e-02 9.125100e-02 8.090382e-03 7.278747e-02
## 70 0.12854708 2.325895e-01 2.408536e-01 2.967595e-04 3.030553e-01
## 71 0.79131482 6.903386e-02 3.359639e-02 1.457005e-03 2.273183e-02
## 72 0.25701876 1.706023e-03 3.858813e-02 2.523348e-01 3.902610e-03
## 73 0.29803385 1.477777e-01 1.209741e-01 5.829952e-04 2.231051e-01
## 74 0.70217351 4.068911e-02 2.261548e-03 6.612727e-04 4.159827e-03
## 75 0.59316188 6.189492e-02 5.140209e-03 4.204247e-03 9.081656e-05
## 76 0.42755812 9.049669e-03 1.348349e-01 1.348575e-01 1.428354e-02
## 77 0.52026239 5.941069e-02 5.348412e-04 3.770858e-03 1.158487e-01
## 78 0.18128867 9.162366e-02 3.668094e-01 4.100655e-02 1.537405e-02
## 79 0.15566268 3.146550e-01 1.846576e-01 1.257666e-03 1.524187e-01
## 80 0.64003652 2.604070e-02 4.071431e-03 4.197368e-03 2.412743e-02
## 81 0.17426969 1.462389e-01 1.229462e-01 1.210660e-06 8.987590e-02
## 82 0.41661624 1.262514e-03 2.177595e-02 8.164781e-02 5.718274e-02
## 83 0.51607837 4.079278e-02 6.968228e-02 2.119663e-01 7.265747e-02
## 84 0.28376714 5.533760e-02 4.839150e-02 1.672965e-02 3.701506e-03
## 85 0.40219818 1.676039e-01 7.111251e-02 3.249709e-03 1.796967e-02
## 86 0.32037594 1.048954e-01 2.615237e-02 3.076407e-01 4.948786e-02
## 87 0.56926487 1.213552e-02 1.517713e-01 6.642605e-04 2.620036e-02
## 88 0.56874857 1.694690e-02 5.249754e-02 6.845002e-03 7.266655e-03
## 89 0.39319865 2.717042e-03 2.991443e-04 1.951928e-01 3.244306e-03
## 90 0.20067677 2.791608e-02 2.686845e-02 7.384648e-02 1.985178e-01
## 91 0.56857213 1.504096e-02 3.294870e-02 1.277186e-01 3.118196e-03
## 92 0.36888630 7.987961e-02 5.707448e-02 1.637471e-02 9.609439e-02
## 93 0.21408248 3.000323e-01 9.545454e-02 1.728479e-02 2.208918e-01
## 94 0.56045886 1.970730e-02 1.068809e-02 3.019675e-02 5.386219e-04
## 95 0.41513278 1.484097e-03 8.284118e-03 1.759065e-01 6.689099e-03
## 96 0.64004071 2.596017e-03 1.462180e-06 1.903496e-02 3.168995e-04
## 97 0.39865265 3.433235e-04 2.654737e-02 2.489739e-01 5.449582e-04
## 98 0.66904687 3.372599e-02 8.332800e-02 2.876255e-02 4.724339e-03
## 99 0.30328771 3.930889e-04 2.384331e-01 1.815304e-02 7.601354e-02
## 100 0.43538764 2.157541e-01 5.934163e-02 1.080236e-02 1.415463e-01
## 101 0.23060167 2.860651e-01 6.174069e-02 1.397414e-02 3.579971e-02
## 102 0.71700330 4.051360e-02 4.447514e-03 2.850702e-04 6.625038e-03
## 103 0.28727046 3.049873e-03 2.068209e-01 1.738540e-01 2.066458e-04
## 104 0.21987562 1.313183e-01 3.643936e-01 8.597489e-03 9.498288e-02
## 105 0.61559644 1.338778e-01 6.661137e-02 1.198271e-02 1.531975e-02
## 106 0.19320371 1.102650e-02 3.010716e-01 2.049751e-03 1.465088e-01
## 107 0.59968619 8.126524e-03 3.069604e-02 1.054705e-02 1.109514e-02
## 108 0.60762490 1.188687e-01 4.027325e-02 3.790616e-02 6.946550e-02
## 109 0.22854941 1.394605e-01 1.503910e-01 1.585760e-02 1.352754e-01
## 110 0.36920071 8.583010e-02 2.175859e-01 5.736842e-02 4.545598e-02
## 111 0.75913173 2.762295e-02 4.594757e-03 2.838707e-03 4.292358e-05
## 112 0.55832761 7.533669e-04 1.404776e-02 4.294073e-03 1.600374e-02
## 113 0.21129856 5.098348e-03 3.113722e-01 8.189354e-02 4.134532e-03
## 114 0.62175579 1.496365e-01 2.756397e-02 1.967661e-03 6.601716e-02
## 115 0.37779224 8.152037e-02 8.014814e-03 1.706475e-03 2.480616e-04
## 116 0.56272169 7.688377e-02 1.108849e-02 6.200373e-02 4.887929e-03
## 117 0.42048825 1.365468e-01 4.377441e-02 3.654000e-02 8.057399e-02
## 118 0.80357766 6.434597e-02 1.971237e-02 1.165066e-02 1.418207e-03
## 119 0.14834250 3.062461e-01 1.381969e-02 6.430764e-03 3.114120e-01
## 120 0.35810839 3.367421e-02 3.613826e-03 1.704396e-01 8.458624e-02
## 121 0.27637727 2.039108e-02 1.937648e-01 1.767519e-01 9.810619e-02
## 122 0.45755090 1.276158e-01 9.813199e-02 1.438274e-02 5.073118e-02
## 123 0.49564615 9.746178e-02 1.326675e-01 9.344858e-03 6.892413e-02
## 124 0.37609023 6.366630e-03 9.549463e-02 3.112533e-01 2.638521e-02
## 125 0.11020840 1.837099e-01 7.873731e-02 7.382511e-02 2.430949e-01
## 126 0.52533644 1.563922e-01 3.813558e-06 6.645589e-03 2.344600e-01
## 127 0.48693680 1.574624e-02 9.816865e-02 1.790357e-01 1.690009e-02
## 128 0.60068118 4.120239e-02 7.211942e-02 1.444911e-01 8.226753e-03
## 129 0.05790354 3.540619e-01 1.456203e-01 2.441577e-02 3.437015e-01
## 130 0.30917208 1.334759e-01 3.251734e-02 8.577317e-02 1.808587e-01
## 131 0.64172192 1.535781e-01 2.561149e-02 1.005058e-02 2.864956e-03
## 132 0.29684381 2.014033e-01 2.147214e-01 1.791117e-04 1.502435e-01
## 133 0.33733689 1.711688e-01 7.752598e-02 9.624421e-03 1.408351e-01
## 134 0.25908887 8.045170e-02 1.671023e-01 9.538044e-02 1.696764e-01
## 135 0.32121872 1.340521e-01 8.098149e-02 1.441950e-02 2.891201e-01
## 136 0.71075327 5.603176e-02 2.334498e-02 2.259580e-03 1.026876e-01
## 137 0.33821416 7.274083e-03 2.284738e-01 8.161881e-02 8.574286e-02
## 138 0.55933274 8.870687e-03 1.473502e-02 2.424859e-01 5.466774e-02
## 139 0.45264922 1.911667e-02 4.383186e-02 1.873272e-01 2.972992e-04
## 140 0.71734181 4.761835e-02 7.166028e-04 3.453709e-02 1.931190e-04
## 141 0.15511601 2.904523e-03 3.383684e-01 2.505283e-01 1.236115e-01
## 142 0.16732719 2.352346e-01 1.195661e-01 1.096458e-01 6.658591e-02
## 143 0.53375710 5.962641e-02 2.115608e-01 1.644668e-02 2.842174e-02
## 144 0.66454860 3.585359e-02 5.865203e-04 6.018021e-02 2.413387e-04
## 145 0.45731676 1.509719e-01 2.040601e-01 1.092973e-02 1.167319e-01
## 146 0.62428688 7.172640e-02 5.069537e-04 1.878505e-03 1.041480e-02
## 147 0.77507882 5.448349e-02 5.953582e-04 1.281234e-03 8.615290e-03
## 148 0.58843040 1.075372e-02 2.703666e-03 1.088469e-01 3.793258e-04
## 149 0.72994321 8.711095e-02 3.088280e-02 3.303034e-03 8.466547e-03
## 150 0.45916748 5.176301e-03 2.373687e-01 9.080933e-02 2.107885e-03
## 151 0.57798571 2.926638e-02 2.213131e-03 4.937007e-04 2.023541e-04
## 152 0.17784271 1.052148e-01 2.310634e-02 1.258830e-01 5.972188e-05
## 153 0.39055611 2.482145e-03 2.887727e-01 1.205715e-02 1.124885e-04
## 154 0.82683560 9.098319e-03 3.564037e-02 7.626740e-03 3.432975e-03
## 155 0.33578355 1.526772e-01 2.265939e-01 3.584594e-02 2.192253e-01
## 156 0.32395070 1.927293e-01 1.998667e-01 2.886453e-02 1.137168e-01
## 157 0.70884571 1.509759e-02 4.650579e-02 9.304044e-02 4.489151e-04res.PCA$ind$contrib## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 1.46089019 5.186826e-03 1.907490e+00 9.162096e-01 2.106750e+00
## 2 1.28902910 6.329806e-02 3.145250e+00 4.549542e-02 1.435128e+00
## 3 1.25483214 3.894452e-01 2.183081e+00 9.294494e-01 8.951673e+00
## 4 2.74579019 1.396261e-01 1.146047e-02 2.216528e-01 3.857934e-01
## 5 1.58430053 6.792706e-03 1.697271e-02 1.043951e-02 3.247700e-01
## 6 1.01387235 1.266657e+00 5.519901e-01 5.285648e-01 1.399109e+00
## 7 0.96457537 9.502758e-01 5.482393e-01 2.363885e-01 1.567381e+00
## 8 0.79767585 3.952161e+00 6.709156e-01 1.620839e+00 1.965325e+00
## 9 0.80507136 2.329274e-04 1.577675e+00 6.611195e-01 3.479367e-04
## 10 0.87245099 7.237098e-01 2.321228e-01 1.420085e+00 7.375134e-02
## 11 1.12913814 3.915495e-01 7.717851e-02 6.118667e-01 1.348451e-01
## 12 1.75350969 6.953997e-01 1.366839e-01 8.104594e-01 2.532246e-01
## 13 3.61009705 4.075802e+00 3.911161e-02 2.307759e+00 2.557750e+00
## 14 0.33645331 1.619256e+00 1.171396e+00 9.651070e-03 2.085580e+00
## 15 0.02996721 1.616292e+00 8.908470e-02 1.482113e-01 1.574351e+00
## 16 1.11193500 7.969990e-02 7.772377e-01 1.110817e+00 7.120501e-01
## 17 1.66395636 6.475926e-01 1.437102e+00 1.013219e+00 1.090306e+00
## 18 1.09909744 7.313392e-01 1.229546e-02 1.907786e-01 2.028279e+00
## 19 3.59405545 2.939185e+01 3.029460e+01 2.477140e+01 1.660873e-01
## 20 3.10454477 1.295518e-02 1.300785e+00 5.386131e-01 2.655424e+00
## 21 0.26585674 2.022494e-05 5.134634e-02 1.005163e+00 1.710846e-01
## 22 0.43901191 2.297321e-01 1.213026e-03 9.217722e-02 1.018145e-01
## 23 1.85746119 3.683537e+00 5.305802e-03 1.258589e+00 1.399714e+00
## 24 4.59333876 4.337462e-02 3.488814e-01 1.208252e-01 2.162615e-01
## 25 0.07711171 5.889851e-03 6.734806e-02 1.643697e-02 2.243945e-01
## 26 1.47415279 5.196593e-01 8.505844e-02 1.513369e-02 2.135094e+00
## 27 1.16108305 2.549442e-02 3.955190e+00 2.138878e+00 1.054492e+00
## 28 0.33790789 1.417351e+00 1.374394e+00 4.702128e+00 1.839065e+00
## 29 1.45806984 1.892430e-01 7.958055e-01 4.277840e-02 1.065122e+00
## 30 0.58635887 7.395866e-02 4.703297e+00 7.392892e+00 6.551436e-01
## 31 3.05681110 3.622706e-01 2.093955e+00 8.262935e-01 1.765468e-01
## 32 1.14989570 8.197743e+00 1.096390e-01 1.049849e+01 3.909331e-01
## 33 3.22674568 4.859073e-02 3.837613e-02 1.512037e-01 7.103113e-04
## 34 2.11633437 5.450101e-01 8.597518e-02 1.522334e-01 6.126355e-01
## 35 0.87473044 3.872704e-02 2.374609e-01 6.256733e-02 1.113637e+00
## 36 1.64826089 3.248576e+00 2.089809e+00 2.945302e-02 1.208272e+01
## 37 1.38991291 4.028986e-03 1.276739e-01 1.368787e-01 6.176973e-02
## 38 3.93850792 3.377929e-01 1.513152e+00 2.450239e-01 1.394290e-03
## 39 2.62916561 5.666584e-01 4.859187e-02 1.519711e-01 1.725924e-01
## 40 3.63769181 4.398979e+00 1.485789e+00 3.076674e+00 9.276374e-01
## 41 0.61707206 2.309189e+00 2.651181e+00 4.021239e-02 8.400503e+00
## 42 7.72271854 3.861907e+00 3.642542e-01 2.246800e+00 9.859213e-01
## 43 0.10102267 2.408532e-02 1.058861e-01 4.745415e-01 6.525999e-02
## 44 0.58832828 1.426872e-01 4.015616e-01 9.708690e-01 3.116198e-02
## 45 0.25231821 3.873354e-03 2.548863e-03 1.374091e-01 5.178020e-01
## 46 0.21022623 1.344363e-02 5.416042e-02 3.154540e-01 1.923171e-04
## 47 0.10998835 2.581074e-04 9.075066e-02 3.639726e-02 1.227812e-01
## 48 0.39792759 1.171621e-03 1.589513e-01 1.958979e-01 6.099805e-02
## 49 0.14184597 4.388526e-01 3.265640e-01 3.259949e-01 4.748269e-01
## 50 0.11646148 8.999573e-04 5.868311e-01 3.947363e-02 4.387855e-02
## 51 0.14109987 1.097661e-02 1.630001e-01 2.474994e-02 2.109553e-02
## 52 0.15761829 6.738276e-01 9.581385e-02 1.667576e-01 6.832406e-01
## 53 0.14272488 8.229659e-04 1.500845e-01 4.706335e-01 2.107779e-01
## 54 0.10779222 3.417386e-02 1.720667e-02 2.967235e-01 1.422728e-01
## 55 0.09435708 4.104871e-02 1.197466e-04 2.210601e-01 4.325807e-02
## 56 0.08235719 5.281795e-03 1.827835e-02 9.083100e-03 2.960164e-02
## 57 0.12841070 1.063345e-01 8.349185e-03 1.505317e-01 5.274811e-01
## 58 0.15861562 1.694882e-01 4.199331e-02 3.141682e-01 3.973954e-01
## 59 0.02178221 1.305912e-03 3.869762e-02 9.485317e-02 6.010940e-02
## 60 0.17176030 6.820532e-02 8.612161e-03 1.164523e-01 1.582773e-01
## 61 0.33256722 3.731771e-01 2.022334e-01 2.066404e-01 4.786765e-01
## 62 0.20507897 3.511508e-01 4.112544e-01 3.071216e-01 1.605838e-01
## 63 0.15145323 9.273415e-02 2.680597e-01 8.101199e-01 8.463851e-03
## 64 0.12390412 3.534316e-02 1.423822e-01 2.826733e-01 4.522388e-02
## 65 0.10286183 7.568690e-02 1.529527e-01 4.013081e-01 1.602822e-01
## 66 0.15344533 1.956045e-01 2.772523e-05 1.092039e-01 4.054346e-02
## 67 0.14396834 1.795255e-02 6.561749e-05 4.821038e-02 9.936195e-03
## 68 0.41902675 4.675423e-01 1.415633e-01 4.296012e-02 1.311704e+00
## 69 0.19811831 3.226293e-02 2.452534e-01 2.635090e-02 2.790807e-01
## 70 0.07330993 6.676582e-01 8.465450e-01 1.264010e-03 1.519549e+00
## 71 0.56295903 2.472027e-01 1.473046e-01 7.741655e-03 1.421851e-01
## 72 0.14543519 4.859068e-03 1.345720e-01 1.066417e+00 1.941565e-02
## 73 0.17783553 4.438389e-01 4.448788e-01 2.598144e-03 1.170455e+00
## 74 0.21250376 6.198175e-02 4.218171e-03 1.494680e-03 1.106852e-02
## 75 0.14984900 7.870442e-02 8.003089e-03 7.932576e-03 2.017148e-04
## 76 0.23385703 2.491446e-02 4.545208e-01 5.509038e-01 6.868838e-02
## 77 0.19507101 1.121240e-01 1.235923e-03 1.055980e-02 3.819034e-01
## 78 0.04756472 1.210000e-01 5.931316e-01 8.035499e-02 3.546456e-02
## 79 0.11919233 1.212724e+00 8.714195e-01 7.192410e-03 1.026111e+00
## 80 0.30063515 6.156746e-02 1.178632e-02 1.472507e-02 9.964100e-02
## 81 0.06902270 2.915389e-01 3.001108e-01 3.581274e-06 3.129719e-01
## 82 0.11781851 1.797120e-03 3.795340e-02 1.724516e-01 1.421786e-01
## 83 0.24378916 9.699414e-02 2.028698e-01 7.478438e-01 3.017665e-01
## 84 0.11141478 1.093615e-01 1.170971e-01 4.905834e-02 1.277766e-02
## 85 0.13404214 2.811569e-01 1.460641e-01 8.088931e-03 5.265426e-02
## 86 0.07455684 1.228704e-01 3.750895e-02 5.347081e-01 1.012554e-01
## 87 0.22841250 2.450910e-02 3.753111e-01 1.990624e-03 9.242826e-02
## 88 0.23623638 3.543074e-02 1.343884e-01 2.123467e-02 2.653708e-02
## 89 0.12896433 4.485568e-03 6.046926e-04 4.781529e-01 9.355597e-03
## 90 0.02483526 1.738960e-02 2.049323e-02 6.825695e-02 2.160047e-01
## 91 0.33198715 4.420534e-02 1.185688e-01 5.569745e-01 1.600778e-02
## 92 0.21355808 2.327678e-01 2.036394e-01 7.080150e-02 4.891179e-01
## 93 0.06231493 4.395846e-01 1.712395e-01 3.757686e-02 5.653047e-01
## 94 0.16823183 2.977522e-02 1.977247e-02 6.769710e-02 1.421479e-03
## 95 0.19966014 3.592777e-03 2.455539e-02 6.318757e-01 2.828551e-02
## 96 0.10768800 2.198522e-03 1.516201e-06 2.391977e-02 4.687847e-04
## 97 0.27979070 1.212846e-03 1.148303e-01 1.305082e+00 3.362745e-03
## 98 0.34627712 8.786086e-02 2.657997e-01 1.111834e-01 2.149811e-02
## 99 0.11677919 7.618420e-04 5.658136e-01 5.220418e-02 2.573319e-01
## 100 0.36176030 9.023341e-01 3.038789e-01 6.703609e-02 1.034036e+00
## 101 0.06111089 3.815791e-01 1.008379e-01 2.765838e-02 8.341184e-02
## 102 0.36658565 1.042602e-01 1.401419e-02 1.088558e-03 2.978069e-02
## 103 0.18665859 9.974756e-03 8.282240e-01 8.436982e-01 1.180527e-03
## 104 0.10327799 3.104699e-01 1.054867e+00 3.016114e-02 3.922546e-01
## 105 0.29020483 3.176732e-01 1.935322e-01 4.218995e-02 6.349686e-02
## 106 0.09311305 2.674830e-02 8.942545e-01 7.378050e-03 6.207988e-01
## 107 0.25016566 1.706365e-02 7.891911e-02 3.286093e-02 4.069383e-02
## 108 0.35279992 3.473954e-01 1.441139e-01 1.643797e-01 3.546126e-01
## 109 0.10284989 3.158918e-01 4.171017e-01 5.329748e-02 5.352230e-01
## 110 0.28472091 3.331655e-01 1.034151e+00 3.304267e-01 3.082052e-01
## 111 0.39163958 7.173037e-02 1.460926e-02 1.093794e-02 1.946962e-04
## 112 0.32129457 2.182148e-03 4.982158e-02 1.845564e-02 8.097070e-02
## 113 0.10862110 1.319200e-02 9.864926e-01 3.144218e-01 1.868685e-02
## 114 0.14434020 1.748512e-01 3.943714e-02 3.411639e-03 1.347461e-01
## 115 0.22415485 2.434584e-01 2.930791e-02 7.562064e-03 1.294037e-03
## 116 0.30038761 2.065792e-01 3.648019e-02 2.472017e-01 2.294063e-02
## 117 0.29388286 4.803586e-01 1.885545e-01 1.907367e-01 4.951164e-01
## 118 0.55697047 2.244860e-01 8.420530e-02 6.031151e-02 8.642433e-03
## 119 0.06029933 6.265864e-01 3.462115e-02 1.952337e-02 1.112947e+00
## 120 0.10238854 4.846161e-02 6.367960e-03 3.639593e-01 2.126320e-01
## 121 0.24241218 9.002349e-02 1.047426e+00 1.157875e+00 7.565552e-01
## 122 0.25600938 3.594052e-01 3.383945e-01 6.010401e-02 2.495649e-01
## 123 0.37914573 3.752600e-01 6.254537e-01 5.338909e-02 4.635513e-01
## 124 0.17244559 1.469377e-02 2.698580e-01 1.065907e+00 1.063684e-01
## 125 0.04914149 4.123155e-01 2.163767e-01 2.458573e-01 9.530192e-01
## 126 0.23414720 3.508570e-01 1.047558e-05 2.212230e-02 9.187815e-01
## 127 0.35144199 5.720334e-02 4.366668e-01 9.650861e-01 1.072413e-01
## 128 0.36490947 1.259874e-01 2.700161e-01 6.555828e-01 4.394016e-02
## 129 0.02684883 8.263481e-01 4.161391e-01 8.455437e-02 1.401180e+00
## 130 0.14433874 3.136528e-01 9.356081e-02 2.990746e-01 7.423591e-01
## 131 0.52709500 6.349429e-01 1.296502e-01 6.165648e-02 2.068960e-02
## 132 0.22864221 7.808337e-01 1.019295e+00 1.030381e-03 1.017457e+00
## 133 0.09047534 2.310759e-01 1.281474e-01 1.927908e-02 3.321003e-01
## 134 0.24278784 3.794695e-01 9.650658e-01 6.675486e-01 1.397950e+00
## 135 0.15971395 3.354897e-01 2.481556e-01 5.354731e-02 1.263899e+00
## 136 0.47089509 1.868543e-01 9.532243e-02 1.118094e-02 5.981571e-01
## 137 0.12936425 1.400439e-02 5.385861e-01 2.331622e-01 2.883451e-01
## 138 0.34490283 2.753260e-02 5.599812e-02 1.116756e+00 2.963805e-01
## 139 0.17934721 3.812489e-02 1.070333e-01 5.543435e-01 1.035663e-03
## 140 0.58373130 1.950404e-01 3.593864e-03 2.099027e-01 1.381669e-03
## 141 0.11491647 1.083088e-02 1.544941e+00 1.386206e+00 8.051497e-01
## 142 0.07958616 5.631651e-01 3.504898e-01 3.895008e-01 2.784488e-01
## 143 0.26951498 1.515449e-01 6.583710e-01 6.202443e-02 1.261775e-01
## 144 0.42496365 1.154041e-01 2.311556e-03 2.874247e-01 1.356888e-03
## 145 0.46673461 7.755549e-01 1.283533e+00 8.331200e-02 1.047453e+00
## 146 0.30917508 1.787981e-01 1.547337e-03 6.948293e-03 4.534856e-02
## 147 0.42505545 1.503932e-01 2.012215e-03 5.247757e-03 4.153954e-02
## 148 0.26757384 2.461335e-02 7.577009e-03 3.696665e-01 1.516537e-03
## 149 0.48708338 2.925839e-01 1.270069e-01 1.646163e-02 4.967211e-02
## 150 0.13792755 7.826416e-03 4.394400e-01 2.037304e-01 5.566970e-03
## 151 0.23329225 5.945875e-02 5.505370e-03 1.488306e-03 7.181040e-04
## 152 0.01630733 4.856094e-02 1.305793e-02 8.621032e-02 4.814734e-05
## 153 0.16619781 5.316581e-03 7.573460e-01 3.832058e-02 4.208644e-04
## 154 0.60064823 3.326792e-02 1.595657e-01 4.137951e-02 2.192622e-02
## 155 0.30386356 6.954357e-01 1.263757e+00 2.422727e-01 1.744223e+00
## 156 0.27500112 8.235059e-01 1.045664e+00 1.830060e-01 8.487353e-01
## 157 0.43904022 4.706777e-02 1.775235e-01 4.303975e-01 2.444606e-03plot.PCA(res.PCA, choix = "ind")
##Etude des variables
res.PCA$var## $coord
## Dim.1 Dim.2 Dim.3 Dim.4
## age -0.3237512 0.45786945 0.585925804 -0.37545913
## specific gravity 0.8047017 -0.17311985 -0.017249580 0.04077007
## albumin -0.8872459 0.02163300 0.001745685 0.05082800
## blood glucose random -0.5702945 0.30016469 0.406564149 0.01307858
## blood urea -0.8266167 -0.29522827 -0.051508472 -0.16027078
## serum creatinine -0.8420482 -0.24403639 -0.128584813 -0.23429552
## sodium 0.6759000 0.08649324 0.330694068 0.13653203
## potassium -0.2253404 -0.59148694 0.551703498 0.49399036
## hemoglobin 0.9065581 0.02293572 0.074222018 -0.07106229
## packed cell volume 0.9044901 0.02326276 0.060299271 -0.10466117
## white blood cell count -0.3492515 0.62807183 -0.230826989 0.56536305
## red blood cell count 0.8153581 0.01737339 -0.019016991 -0.06868533
## Dim.5
## age 0.39936346
## specific gravity 0.24605811
## albumin -0.11268393
## blood glucose random -0.55632078
## blood urea 0.18157787
## serum creatinine 0.14440861
## sodium 0.14971336
## potassium 0.07464035
## hemoglobin -0.08699614
## packed cell volume -0.07469181
## white blood cell count 0.24577013
## red blood cell count -0.08140081
##
## $cor
## Dim.1 Dim.2 Dim.3 Dim.4
## age -0.3237512 0.45786945 0.585925804 -0.37545913
## specific gravity 0.8047017 -0.17311985 -0.017249580 0.04077007
## albumin -0.8872459 0.02163300 0.001745685 0.05082800
## blood glucose random -0.5702945 0.30016469 0.406564149 0.01307858
## blood urea -0.8266167 -0.29522827 -0.051508472 -0.16027078
## serum creatinine -0.8420482 -0.24403639 -0.128584813 -0.23429552
## sodium 0.6759000 0.08649324 0.330694068 0.13653203
## potassium -0.2253404 -0.59148694 0.551703498 0.49399036
## hemoglobin 0.9065581 0.02293572 0.074222018 -0.07106229
## packed cell volume 0.9044901 0.02326276 0.060299271 -0.10466117
## white blood cell count -0.3492515 0.62807183 -0.230826989 0.56536305
## red blood cell count 0.8153581 0.01737339 -0.019016991 -0.06868533
## Dim.5
## age 0.39936346
## specific gravity 0.24605811
## albumin -0.11268393
## blood glucose random -0.55632078
## blood urea 0.18157787
## serum creatinine 0.14440861
## sodium 0.14971336
## potassium 0.07464035
## hemoglobin -0.08699614
## packed cell volume -0.07469181
## white blood cell count 0.24577013
## red blood cell count -0.08140081
##
## $cos2
## Dim.1 Dim.2 Dim.3 Dim.4
## age 0.10481484 0.2096444358 3.433090e-01 0.1409695567
## specific gravity 0.64754475 0.0299704810 2.975480e-04 0.0016621984
## albumin 0.78720529 0.0004679869 3.047416e-06 0.0025834860
## blood glucose random 0.32523583 0.0900988404 1.652944e-01 0.0001710492
## blood urea 0.68329523 0.0871597314 2.653123e-03 0.0256867225
## serum creatinine 0.70904514 0.0595537593 1.653405e-02 0.0548943902
## sodium 0.45684082 0.0074810801 1.093586e-01 0.0186409951
## potassium 0.05077829 0.3498567996 3.043767e-01 0.2440264727
## hemoglobin 0.82184761 0.0005260473 5.508908e-03 0.0050498486
## packed cell volume 0.81810243 0.0005411559 3.636002e-03 0.0109539612
## white blood cell count 0.12197664 0.3944742183 5.328110e-02 0.3196353780
## red blood cell count 0.66480889 0.0003018346 3.616460e-04 0.0047176750
## Dim.5
## age 0.159491173
## specific gravity 0.060544593
## albumin 0.012697669
## blood glucose random 0.309492809
## blood urea 0.032970522
## serum creatinine 0.020853846
## sodium 0.022414091
## potassium 0.005571181
## hemoglobin 0.007568329
## packed cell volume 0.005578867
## white blood cell count 0.060402957
## red blood cell count 0.006626093
##
## $contrib
## Dim.1 Dim.2 Dim.3 Dim.4
## age 1.6928841 17.04320486 3.417322e+01 17.0049412
## specific gravity 10.4586158 2.43647319 2.961814e-02 0.2005084
## albumin 12.7142990 0.03804535 3.033419e-04 0.3116419
## blood glucose random 5.2529444 7.32465419 1.645352e+01 0.0206334
## blood urea 11.0360283 7.08571707 2.640937e-01 3.0985499
## serum creatinine 11.4519200 4.84146844 1.645811e+00 6.6218260
## sodium 7.3785211 0.60818013 1.088563e+01 2.2486346
## potassium 0.8201296 28.44187629 3.029787e+01 29.4365387
## hemoglobin 13.2738137 0.04276542 5.483606e-01 0.6091555
## packed cell volume 13.2133245 0.04399368 3.619302e-01 1.3213595
## white blood cell count 1.9700673 32.06908349 5.303638e+00 38.5571249
## red blood cell count 10.7374521 0.02453787 3.599849e-02 0.5690859
## Dim.5
## age 22.6481719
## specific gravity 8.5974936
## albumin 1.8031029
## blood glucose random 43.9488041
## blood urea 4.6819020
## serum creatinine 2.9613017
## sodium 3.1828607
## potassium 0.7911226
## hemoglobin 1.0747229
## packed cell volume 0.7922140
## white blood cell count 8.5773809
## red blood cell count 0.9409228res.PCA$ind## $coord
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 -3.7683949 -0.100084476 -1.734525138 -1.091999255 -1.526188168
## 2 -3.5398020 -0.349631920 -2.227291405 -0.243337354 1.259641418
## 3 -3.4925323 0.867239529 1.855600223 -1.099860986 -3.145963597
## 4 -5.1663199 0.519277102 0.134446891 0.537107869 0.653098972
## 5 -3.9243379 -0.114534751 0.163615758 -0.116564135 0.599224445
## 6 -3.1393465 -1.564031182 -0.933071915 -0.829419088 1.243733570
## 7 -3.0620741 1.354692409 0.929896409 -0.554674343 -1.316403204
## 8 -2.7845873 2.762696554 -1.028687398 1.452428867 1.474072177
## 9 -2.7974659 0.021209292 1.577459844 -0.927608940 0.019613345
## 10 -2.9121795 1.182219433 -0.605073789 1.359508962 0.285552864
## 11 -3.3129978 -0.869579289 -0.348897351 -0.892387234 0.386117263
## 12 -4.1285895 -1.158865676 -0.464310091 -1.027047571 -0.529120372
## 13 -5.9238909 -2.805578293 -0.248371812 -1.733086020 1.681630751
## 14 -1.8084646 1.768372160 1.359256269 -0.112076007 -1.518500572
## 15 -0.5397228 1.766752873 0.374844416 0.439203309 -1.319326553
## 16 -3.2876632 0.392323885 1.107200841 -1.202392347 -0.887272147
## 17 -4.0217825 1.118321816 1.505543302 -1.148355918 -1.097933094
## 18 -3.2686296 1.188434623 -0.139258539 0.498298733 1.497495101
## 19 -5.9107148 -7.534064228 6.912451360 5.678063214 0.428518700
## 20 -5.4934678 0.158174906 -1.432360321 0.837265891 1.713438541
## 21 -1.6075758 -0.006249705 0.284579908 -1.143781867 0.434917693
## 22 -2.0657881 0.666080422 -0.043740571 0.346367169 0.335510731
## 23 -4.2492031 2.667155847 0.091479758 1.279873255 -1.244002424
## 24 -6.6820828 0.289423439 -0.741802679 -0.396555153 0.488980053
## 25 -0.8657805 0.106651757 0.325920768 -0.146263467 0.498089803
## 26 -3.7854618 1.001786591 -0.366275775 0.140345146 1.536420302
## 27 -3.3595357 0.221890360 -2.497659083 1.668468058 -1.079749770
## 28 -1.8123697 1.654453582 -1.472330026 2.473842973 1.425936301
## 29 -3.7647555 0.604540984 1.120348006 -0.235959355 -1.085178632
## 30 -2.3874230 0.377929136 -2.723646219 3.101930823 -0.851078902
## 31 -5.4510720 -0.836435456 -1.817327442 -1.037031837 0.441805856
## 32 -3.3433115 3.978899816 -0.415845454 3.696479057 0.657435000
## 33 -5.6005410 -0.306332148 0.246025473 -0.443614910 -0.028023731
## 34 -4.5356523 -1.025930941 -0.368244300 -0.445122822 -0.823005323
## 35 -2.9159813 0.273478391 0.611991724 -0.285363718 -1.109617787
## 36 -4.0027696 2.504738616 1.815527263 0.195789708 -3.654971570
## 37 -3.6757114 0.088209176 0.448745892 -0.422078111 0.261330107
## 38 -6.1874753 0.807683380 -1.544865840 -0.564714800 -0.039262512
## 39 -5.0554124 1.046108052 -0.276841569 -0.444739253 -0.436829935
## 40 -5.9464883 -2.914686308 -1.530833603 -2.001085737 1.012723041
## 41 -2.4491510 2.111765053 2.044886453 0.228773043 -3.047573722
## 42 -8.6642848 -2.730968973 -0.757969518 -1.710043289 1.044053399
## 43 0.9909621 0.215671139 -0.408666442 0.785890434 -0.268611789
## 44 2.3914289 -0.524938472 -0.795839610 1.124100768 0.185615439
## 45 1.5661088 -0.086488720 -0.063404890 0.422895061 0.756629763
## 46 1.4295227 -0.161129164 0.292274222 -0.640756410 -0.014581778
## 47 1.0340010 0.022326265 -0.378333136 -0.217650290 0.368440646
## 48 1.9667522 -0.047567397 -0.500704479 0.504940018 -0.259692596
## 49 1.1742380 0.920608981 0.717684621 0.651373820 0.724551485
## 50 1.0639930 -0.041689512 -0.962068625 0.226661876 -0.220255986
## 51 1.1711457 0.145596200 -0.507041445 0.179478309 -0.152720293
## 52 1.2378013 -1.140749454 -0.388743927 -0.465873197 -0.869137323
## 53 1.1778703 0.039866377 -0.486538665 0.782647773 -0.482740866
## 54 1.0236260 -0.256899293 0.164739562 -0.621442413 -0.396608946
## 55 0.9577119 0.281556547 0.013742983 -0.536389340 -0.218693132
## 56 0.8947432 -0.100996569 -0.169792316 0.108728141 -0.180908692
## 57 1.1172445 -0.453161350 0.114754975 -0.442627971 -0.763668796
## 58 1.2417112 0.572117898 0.257359094 0.639449151 0.662846582
## 59 0.4601491 0.050219542 0.247053844 -0.351358820 -0.257793983
## 60 1.2921383 0.362931764 0.116548192 0.389313087 0.418322201
## 61 1.7979903 -0.848932915 -0.564775619 0.518600037 -0.727482621
## 62 1.4119138 -0.823498333 -0.805387268 0.632237336 -0.421359200
## 63 1.2133522 -0.423190303 -0.650227321 1.026832424 0.096735435
## 64 1.0974645 -0.261257384 0.473889771 -0.606550991 -0.223607043
## 65 0.9999418 -0.382319294 0.491165689 -0.722709734 -0.420963294
## 66 1.2213059 -0.614618050 0.006612825 -0.377002240 -0.211720042
## 67 1.1829901 0.186199695 -0.010173240 0.250492775 0.104812149
## 68 2.0182199 -0.950224715 -0.472525028 0.236460002 -1.204258039
## 69 1.3877458 0.249613308 0.621952173 0.185192198 0.555477519
## 70 0.8441682 -1.135515209 -1.155512119 0.040560214 -1.296160742
## 71 2.3393005 -0.690943327 -0.482011796 -0.100378762 -0.396486661
## 72 1.1890014 0.096870677 0.460709121 -1.178117240 0.146513460
## 73 1.3147915 0.925824252 0.837664909 -0.058150917 1.137571878
## 74 1.4372454 -0.345977445 -0.081566457 0.044106135 -0.110623234
## 75 1.2069090 -0.389866052 0.112351356 -0.101608971 0.014933804
## 76 1.5077274 -0.219352000 -0.846693799 0.846764792 -0.275577164
## 77 1.3770319 -0.465334311 0.044151473 -0.117233806 -0.649797939
## 78 0.6799705 -0.483402155 -0.967219399 0.323393549 -0.198015354
## 79 1.0763953 1.530371451 1.172365743 -0.096752487 1.065120306
## 80 1.7094937 -0.344819227 0.136344828 0.138437470 0.331910212
## 81 0.8191125 -0.750350430 -0.688002903 -0.002158956 -0.588239633
## 82 1.0701739 0.058912088 -0.244666678 0.473760175 -0.396477690
## 83 1.5394118 -0.432801360 0.565663525 -0.986575597 -0.577613211
## 84 1.0406843 0.459566240 0.429756549 0.252686109 -0.118857668
## 85 1.1414800 -0.736868967 -0.479977906 -0.102605463 0.241278335
## 86 0.8513171 0.487124000 -0.243229876 0.834225201 0.334588287
## 87 1.4900730 0.217560267 0.769387631 -0.050900208 0.319671539
## 88 1.5153781 0.261580860 0.460394706 -0.166244635 0.171288469
## 89 1.1196504 -0.093073184 -0.030882809 0.788875240 0.101703835
## 90 0.4913399 0.183257046 0.179785531 -0.298056336 0.488689689
## 91 1.7964215 0.292181832 0.432448740 -0.851417492 0.133035392
## 92 1.4408064 0.670466860 0.566735397 0.303561135 0.735374173
## 93 0.7782940 0.921376457 0.519698427 -0.221149105 0.790574634
## 94 1.2787973 -0.239796790 0.176595608 0.296831470 -0.039643485
## 95 1.3931353 0.083297308 0.196799015 -0.906861085 0.176841254
## 96 1.0231311 0.065160030 -0.001546422 0.176442600 -0.022766081
## 97 1.6491655 0.048397029 -0.425576502 1.303298204 0.060974540
## 98 1.8346766 -0.411920663 -0.647480529 0.380403851 0.154170667
## 99 1.0654433 0.038357325 0.944683197 -0.260661913 0.533394374
## 100 1.8752452 -1.320077857 -0.692308637 -0.295378765 -1.069225584
## 101 0.7707383 0.858436416 0.398805762 0.189731005 0.303679475
## 102 1.8877103 -0.448719762 -0.148673456 -0.037640094 0.181455005
## 103 1.3470125 0.138792824 1.142939867 -1.047896753 -0.036127630
## 104 1.0019626 -0.774329160 -1.289877162 0.198129333 -0.658545257
## 105 1.6795771 -0.783260337 -0.552492109 0.234330828 -0.264958404
## 106 0.9513775 0.227281421 1.187626942 -0.097993152 0.828470447
## 107 1.5594141 -0.181531435 -0.352809753 -0.206806824 -0.212112315
## 108 1.8518758 -0.819082962 -0.476762875 -0.462539673 -0.626150412
## 109 0.9998838 0.781061136 0.811092673 -0.263377246 0.769252608
## 110 1.6636321 -0.802132004 -1.277148626 0.655786504 -0.583742815
## 111 1.9511511 -0.372192309 0.151797141 0.119314339 -0.014671696
## 112 1.7672554 -0.064916936 -0.280322678 0.154984919 -0.299202706
## 113 1.0275542 -0.159614077 -1.247373154 0.639707258 -0.143737349
## 114 1.1845169 -0.581099033 -0.249403296 0.066635622 -0.385975516
## 115 1.4761201 -0.685690667 0.215001693 0.099207637 0.037824655
## 116 1.7087897 -0.631624754 -0.239871155 0.567218903 -0.159259091
## 117 1.6901870 -0.963160487 -0.545340749 0.498243995 -0.739869721
## 118 2.3268249 -0.658431277 -0.364434259 0.280172190 -0.097750637
## 119 0.7656034 1.100034565 0.233679279 0.159405159 1.109273718
## 120 0.9976387 -0.305924859 -0.100218902 -0.688258102 -0.484859486
## 121 1.5350582 0.416959424 1.285319711 -1.227596734 0.914580398
## 122 1.5775225 -0.833120885 -0.730568866 -0.279689819 -0.525282992
## 123 1.9197766 -0.851298757 -0.993223659 -0.263603501 -0.715896910
## 124 1.2947135 -0.168454436 -0.652404740 1.177835371 0.342931905
## 125 0.6911492 0.892340642 0.584190819 -0.565674374 1.026484508
## 126 1.5086625 0.823153694 0.004064794 0.169683687 1.007877385
## 127 1.8483084 0.332373631 0.829897685 -1.120747980 0.344336127
## 128 1.8833897 -0.493263931 -0.652595829 0.923716518 0.220410554
## 129 0.5108699 1.263273474 0.810156142 -0.331736273 1.244653632
## 130 1.1845109 0.778288196 0.384146140 -0.623899532 0.905959128
## 131 2.2635603 -1.107345669 -0.452205730 0.283278934 -0.151243798
## 132 1.4908221 1.227990869 1.267942361 0.036620458 1.060619641
## 133 0.9378054 0.668025699 0.449577379 -0.158404719 0.605949172
## 134 1.5362471 0.856060236 1.233752200 -0.932108298 1.243218345
## 135 1.2460029 0.804925094 0.625621247 -0.263993807 1.182109750
## 136 2.1394872 0.600713494 0.387745744 -0.120632446 0.813222133
## 137 1.1213850 0.164455341 0.921673400 -0.550876172 0.564622046
## 138 1.8310322 -0.230589483 0.297191367 -1.205602381 0.572435317
## 139 1.3203678 0.271343962 0.410874295 -0.849404201 -0.033838482
## 140 2.3820677 -0.613731199 -0.075288785 -0.522677637 0.039084410
## 141 1.0569118 0.144626486 1.561008859 -1.343194270 0.943495605
## 142 0.8795618 1.042878522 0.743510591 0.711998555 0.554848336
## 143 1.6185983 0.540986676 1.019024967 -0.284122942 0.373501712
## 144 2.0324670 -0.472091813 -0.060381188 -0.611627484 -0.038732326
## 145 2.1300148 -1.223832957 -1.422830201 0.329290133 -1.076139947
## 146 1.7336038 0.587620941 -0.049401699 0.095096380 0.223915069
## 147 2.0326865 -0.538926994 -0.056336082 -0.082644085 -0.214305056
## 148 1.6127589 -0.218022470 -0.109319691 -0.693633351 0.040947567
## 149 2.1759518 -0.751694021 -0.447572195 -0.146373105 -0.234346190
## 150 1.1579055 0.122941169 0.832528790 -0.514935459 0.078453264
## 151 1.5059057 -0.338862684 -0.093184299 -0.044012000 -0.028177032
## 152 0.3981430 0.306238225 0.143511474 0.334968948 0.007296049
## 153 1.2710431 0.101328609 1.092940797 -0.223326861 0.021571120
## 154 2.4163382 -0.253471252 -0.501671262 -0.232069261 0.155698145
## 155 1.7186480 -1.158895726 -1.411826401 0.561535468 -1.388681304
## 156 1.6349890 -1.261099081 -1.284238208 0.488042452 -0.968696427
## 157 2.0658547 0.301493296 0.529148305 -0.748444833 -0.051988351
##
## $cos2
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 0.45773369 3.228743e-04 9.697533e-02 3.843658e-02 7.507861e-02
## 2 0.51970137 5.070118e-03 2.057548e-01 2.455916e-03 6.580968e-02
## 3 0.43194581 2.663340e-02 1.219319e-01 4.283749e-02 3.504740e-01
## 4 0.83430803 8.428731e-03 5.650220e-04 9.017515e-03 1.333281e-02
## 5 0.83977163 7.153243e-04 1.459751e-03 7.408978e-04 1.957976e-02
## 6 0.47769672 1.185672e-01 4.219918e-02 3.334431e-02 7.497707e-02
## 7 0.62204026 1.217499e-01 5.736622e-02 2.041095e-02 1.149648e-01
## 8 0.24373059 2.399135e-01 3.326252e-02 6.630986e-02 6.830081e-02
## 9 0.56765127 3.262904e-05 1.804964e-01 6.241398e-02 2.790329e-05
## 10 0.54862695 9.041429e-02 2.368414e-02 1.195653e-01 5.274896e-03
## 11 0.80962284 5.577747e-02 8.979162e-03 5.874179e-02 1.099712e-02
## 12 0.70157310 5.527589e-02 8.873312e-03 4.341608e-02 1.152334e-02
## 13 0.66189312 1.484631e-01 1.163532e-03 5.665184e-02 5.333779e-02
## 14 0.27716775 2.650147e-01 1.565761e-01 1.064506e-03 1.954126e-01
## 15 0.02358755 2.527511e-01 1.137741e-02 1.561970e-02 1.409438e-01
## 16 0.69036291 9.830878e-03 7.829890e-02 9.234114e-02 5.028246e-02
## 17 0.67078750 5.186584e-02 9.400139e-02 5.468911e-02 4.999189e-02
## 18 0.60429207 7.988515e-02 1.096880e-03 1.404414e-02 1.268371e-01
## 19 0.19675309 3.196688e-01 2.690951e-01 1.815691e-01 1.034144e-03
## 20 0.75605446 6.268088e-04 5.140016e-02 1.756252e-02 7.355242e-02
## 21 0.12182155 1.841197e-06 3.817594e-03 6.166910e-02 8.916520e-03
## 22 0.55419126 5.761578e-02 2.484603e-04 1.557979e-02 1.461844e-02
## 23 0.60262643 2.374269e-01 2.793079e-04 5.467227e-02 5.165063e-02
## 24 0.79188396 1.485611e-03 9.759209e-03 2.788978e-03 4.240530e-03
## 25 0.13761046 2.088199e-03 1.950114e-02 3.927422e-03 4.554610e-02
## 26 0.49100761 3.438752e-02 4.596919e-03 6.749091e-04 8.088548e-02
## 27 0.43011622 1.876308e-03 2.377353e-01 1.060872e-01 4.442972e-02
## 28 0.17907673 1.492295e-01 1.181832e-01 3.336490e-01 1.108526e-01
## 29 0.73359030 1.891610e-02 6.496597e-02 2.881738e-03 6.095123e-02
## 30 0.20582705 5.157800e-03 2.678830e-01 3.474625e-01 2.615673e-02
## 31 0.83322191 1.961832e-02 9.261114e-02 3.015651e-02 5.473433e-03
## 32 0.24331030 3.446139e-01 3.764183e-03 2.974290e-01 9.408328e-03
## 33 0.84243625 2.520358e-03 1.625688e-03 5.285540e-03 2.109254e-05
## 34 0.75938930 3.885270e-02 5.005610e-03 7.313827e-03 2.500289e-02
## 35 0.74460810 6.549442e-03 3.279815e-02 7.131088e-03 1.078214e-01
## 36 0.37244298 1.458356e-01 7.662035e-02 8.910833e-04 3.105322e-01
## 37 0.70350730 4.051476e-04 1.048544e-02 9.276229e-03 3.556024e-03
## 38 0.77129870 1.314250e-02 4.808141e-02 6.424717e-03 3.105645e-05
## 39 0.87827508 3.760715e-02 2.633783e-03 6.797173e-03 6.557558e-03
## 40 0.67039276 1.610615e-01 4.442876e-02 7.591709e-02 1.944418e-02
## 41 0.22578743 1.678649e-01 1.574008e-01 1.970055e-03 3.496046e-01
## 42 0.82321809 8.178676e-02 6.300180e-03 3.206739e-02 1.195349e-02
## 43 0.24677618 1.168889e-02 4.196885e-02 1.552077e-01 1.813173e-02
## 44 0.55723747 2.684987e-02 6.171297e-02 1.231221e-01 3.357017e-03
## 45 0.58719008 1.790828e-03 9.624549e-04 4.281541e-02 1.370572e-01
## 46 0.41514209 5.274277e-03 1.735384e-02 8.340663e-02 4.319521e-05
## 47 0.37497633 1.748212e-04 5.020081e-02 1.661424e-02 4.760987e-02
## 48 0.61409865 3.592176e-04 3.980172e-02 4.047794e-02 1.070676e-02
## 49 0.31880222 1.959564e-01 1.190903e-01 9.810016e-02 1.213801e-01
## 50 0.37586341 5.770403e-04 3.073015e-01 1.705727e-02 1.610675e-02
## 51 0.64527219 9.972894e-03 1.209506e-01 1.515462e-02 1.097273e-02
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## 157 0.70884571 1.509759e-02 4.650579e-02 9.304044e-02 4.489151e-04
##
## $contrib
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 1.46089019 5.186826e-03 1.907490e+00 9.162096e-01 2.106750e+00
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## 95 0.19966014 3.592777e-03 2.455539e-02 6.318757e-01 2.828551e-02
## 96 0.10768800 2.198522e-03 1.516201e-06 2.391977e-02 4.687847e-04
## 97 0.27979070 1.212846e-03 1.148303e-01 1.305082e+00 3.362745e-03
## 98 0.34627712 8.786086e-02 2.657997e-01 1.111834e-01 2.149811e-02
## 99 0.11677919 7.618420e-04 5.658136e-01 5.220418e-02 2.573319e-01
## 100 0.36176030 9.023341e-01 3.038789e-01 6.703609e-02 1.034036e+00
## 101 0.06111089 3.815791e-01 1.008379e-01 2.765838e-02 8.341184e-02
## 102 0.36658565 1.042602e-01 1.401419e-02 1.088558e-03 2.978069e-02
## 103 0.18665859 9.974756e-03 8.282240e-01 8.436982e-01 1.180527e-03
## 104 0.10327799 3.104699e-01 1.054867e+00 3.016114e-02 3.922546e-01
## 105 0.29020483 3.176732e-01 1.935322e-01 4.218995e-02 6.349686e-02
## 106 0.09311305 2.674830e-02 8.942545e-01 7.378050e-03 6.207988e-01
## 107 0.25016566 1.706365e-02 7.891911e-02 3.286093e-02 4.069383e-02
## 108 0.35279992 3.473954e-01 1.441139e-01 1.643797e-01 3.546126e-01
## 109 0.10284989 3.158918e-01 4.171017e-01 5.329748e-02 5.352230e-01
## 110 0.28472091 3.331655e-01 1.034151e+00 3.304267e-01 3.082052e-01
## 111 0.39163958 7.173037e-02 1.460926e-02 1.093794e-02 1.946962e-04
## 112 0.32129457 2.182148e-03 4.982158e-02 1.845564e-02 8.097070e-02
## 113 0.10862110 1.319200e-02 9.864926e-01 3.144218e-01 1.868685e-02
## 114 0.14434020 1.748512e-01 3.943714e-02 3.411639e-03 1.347461e-01
## 115 0.22415485 2.434584e-01 2.930791e-02 7.562064e-03 1.294037e-03
## 116 0.30038761 2.065792e-01 3.648019e-02 2.472017e-01 2.294063e-02
## 117 0.29388286 4.803586e-01 1.885545e-01 1.907367e-01 4.951164e-01
## 118 0.55697047 2.244860e-01 8.420530e-02 6.031151e-02 8.642433e-03
## 119 0.06029933 6.265864e-01 3.462115e-02 1.952337e-02 1.112947e+00
## 120 0.10238854 4.846161e-02 6.367960e-03 3.639593e-01 2.126320e-01
## 121 0.24241218 9.002349e-02 1.047426e+00 1.157875e+00 7.565552e-01
## 122 0.25600938 3.594052e-01 3.383945e-01 6.010401e-02 2.495649e-01
## 123 0.37914573 3.752600e-01 6.254537e-01 5.338909e-02 4.635513e-01
## 124 0.17244559 1.469377e-02 2.698580e-01 1.065907e+00 1.063684e-01
## 125 0.04914149 4.123155e-01 2.163767e-01 2.458573e-01 9.530192e-01
## 126 0.23414720 3.508570e-01 1.047558e-05 2.212230e-02 9.187815e-01
## 127 0.35144199 5.720334e-02 4.366668e-01 9.650861e-01 1.072413e-01
## 128 0.36490947 1.259874e-01 2.700161e-01 6.555828e-01 4.394016e-02
## 129 0.02684883 8.263481e-01 4.161391e-01 8.455437e-02 1.401180e+00
## 130 0.14433874 3.136528e-01 9.356081e-02 2.990746e-01 7.423591e-01
## 131 0.52709500 6.349429e-01 1.296502e-01 6.165648e-02 2.068960e-02
## 132 0.22864221 7.808337e-01 1.019295e+00 1.030381e-03 1.017457e+00
## 133 0.09047534 2.310759e-01 1.281474e-01 1.927908e-02 3.321003e-01
## 134 0.24278784 3.794695e-01 9.650658e-01 6.675486e-01 1.397950e+00
## 135 0.15971395 3.354897e-01 2.481556e-01 5.354731e-02 1.263899e+00
## 136 0.47089509 1.868543e-01 9.532243e-02 1.118094e-02 5.981571e-01
## 137 0.12936425 1.400439e-02 5.385861e-01 2.331622e-01 2.883451e-01
## 138 0.34490283 2.753260e-02 5.599812e-02 1.116756e+00 2.963805e-01
## 139 0.17934721 3.812489e-02 1.070333e-01 5.543435e-01 1.035663e-03
## 140 0.58373130 1.950404e-01 3.593864e-03 2.099027e-01 1.381669e-03
## 141 0.11491647 1.083088e-02 1.544941e+00 1.386206e+00 8.051497e-01
## 142 0.07958616 5.631651e-01 3.504898e-01 3.895008e-01 2.784488e-01
## 143 0.26951498 1.515449e-01 6.583710e-01 6.202443e-02 1.261775e-01
## 144 0.42496365 1.154041e-01 2.311556e-03 2.874247e-01 1.356888e-03
## 145 0.46673461 7.755549e-01 1.283533e+00 8.331200e-02 1.047453e+00
## 146 0.30917508 1.787981e-01 1.547337e-03 6.948293e-03 4.534856e-02
## 147 0.42505545 1.503932e-01 2.012215e-03 5.247757e-03 4.153954e-02
## 148 0.26757384 2.461335e-02 7.577009e-03 3.696665e-01 1.516537e-03
## 149 0.48708338 2.925839e-01 1.270069e-01 1.646163e-02 4.967211e-02
## 150 0.13792755 7.826416e-03 4.394400e-01 2.037304e-01 5.566970e-03
## 151 0.23329225 5.945875e-02 5.505370e-03 1.488306e-03 7.181040e-04
## 152 0.01630733 4.856094e-02 1.305793e-02 8.621032e-02 4.814734e-05
## 153 0.16619781 5.316581e-03 7.573460e-01 3.832058e-02 4.208644e-04
## 154 0.60064823 3.326792e-02 1.595657e-01 4.137951e-02 2.192622e-02
## 155 0.30386356 6.954357e-01 1.263757e+00 2.422727e-01 1.744223e+00
## 156 0.27500112 8.235059e-01 1.045664e+00 1.830060e-01 8.487353e-01
## 157 0.43904022 4.706777e-02 1.775235e-01 4.303975e-01 2.444606e-03
##
## $dist
## 1 2 3 4 5 6 7
## 5.5699329 4.9102324 5.3140520 5.6561130 4.2823859 4.5421673 3.8824552
## 8 9 10 11 12 13 14
## 5.6403469 3.7129919 3.9316927 3.6819660 4.9290728 7.2813703 3.4350943
## 15 16 17 18 19 20 21
## 3.5142230 3.9568409 4.9105044 4.2047702 13.3253684 6.3178606 4.6058458
## 22 23 24 25 26 27 28
## 2.7749549 5.4737304 7.5089823 2.3338990 5.4022510 5.1225517 4.2827942
## 29 30 31 32 33 34 35
## 4.3955172 5.2623307 5.9717494 6.7779225 6.1018491 5.2048416 3.3792542
## 36 37 38 39 40 41 42
## 6.5588953 4.3823505 7.0453436 5.3943771 7.2626633 5.1542523 9.5493820
## 43 44 45 46 47 48 49
## 1.9948279 3.2035929 2.0437726 2.2186699 1.6885698 2.5097506 2.0796749
## 50 51 52 53 54 55 56
## 1.7354965 1.4579393 2.1564867 1.9440239 1.6861819 1.5439012 1.2679898
## 57 58 59 60 61 62 63
## 1.8495442 2.0226186 1.3751332 1.7564565 2.3545091 2.3277331 2.0872320
## 64 65 66 67 68 69 70
## 1.9368616 1.8357466 1.8624529 1.7674620 2.6570762 2.0589138 2.3544957
## 71 72 73 74 75 76 77
## 2.6297312 2.3453084 2.4083749 1.7151761 1.5670683 2.3058192 1.9091180
## 78 79 80 81 82 83 84
## 1.5969994 2.7282209 2.1368061 1.9621520 1.6580067 2.1428757 1.9536104
## 85 86 87 88 89 90 91
## 1.7998994 1.5040470 1.9749238 2.0093743 1.7855681 1.0968152 2.3824043
## 92 93 94 95 96 97 98
## 2.3722440 1.6821050 1.7081650 2.1622196 1.2788732 2.6119624 2.2430102
## 99 100 101 102 103 104 105
## 1.9346524 2.8419735 1.6050024 2.2293321 2.5131947 2.1367955 2.1406807
## 106 107 108 109 110 111 112
## 2.1644381 2.0137216 2.3757136 2.0915078 2.7379533 2.2394034 2.3651286
## 113 114 115 116 117 118 119
## 2.2354062 1.5022124 2.4015695 2.2779375 2.6065005 2.5956718 1.9877926
## 120 121 122 123 124 125 126
## 1.6671169 2.9199383 2.3321466 2.7268725 2.1111916 2.0819219 2.0814853
## 127 128 129 130 131 132 133
## 2.6487327 2.4300666 2.1230380 2.1302910 2.8256517 2.7362881 1.6146590
## 134 135 136 137 138 139 140
## 3.0181214 2.1984603 2.5377583 1.9282301 2.4482788 1.9625197 2.8124903
## 141 142 143 144 145 146 147
## 2.6835547 2.1502211 2.2154770 2.4932173 3.1497353 2.1941068 2.3088593
## 148 149 150 151 152 153 154
## 2.1024317 2.5468580 1.7087856 1.9807936 0.9441065 2.0338483 2.6573462
## 155 156 157
## 2.9659049 2.8726015 2.4537138res.PCA$eig ## eigenvalue percentage of variance cumulative percentage of variance
## comp 1 6.19149576 51.5957980 51.59580
## comp 2 1.23007637 10.2506364 61.84643
## comp 3 1.00461420 8.3717850 70.21822
## comp 4 0.82899173 6.9082644 77.12648
## comp 5 0.70421213 5.8684344 82.99492
## comp 6 0.56488338 4.7073615 87.70228
## comp 7 0.43034347 3.5861956 91.28848
## comp 8 0.33736597 2.8113831 94.09986
## comp 9 0.27688069 2.3073391 96.40720
## comp 10 0.19794496 1.6495413 98.05674
## comp 11 0.14283932 1.1903276 99.24707
## comp 12 0.09035202 0.7529335 100.00000Kaiser Criteria shows that we should choose the first 3 components.
barplot(res.PCA$eig[,1], main = "eblouis des valeurs propres", names.arg = paste("eig", 1:nrow(res.PCA$eig)))
plotellipses(res.PCA) 
ACP avec Factoextra
library(factoextra)
fviz_pca_ind(res.PCA, geom = c("point", "text"), repel = TRUE, col.ind = "coord")## Warning: ggrepel: 115 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps
fviz_pca_ind(res.PCA, repel = TRUE, col.var="contrib")## Warning: ggrepel: 115 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps
scale_color_gradient2(low = "green", mid = "red", high = "blue", midpoint = 0.5)## <ScaleContinuous>
## Range:
## Limits: 0 -- 1fviz_pca_var(res.PCA, col.var = "cos2", gradient.cols=c("#00AFBB"))
fviz_pca_biplot(res.PCA, col.var = "cos2", gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), repel = TRUE)## Warning: ggrepel: 118 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps
CAH (HCLUST)
y=data[,1:12] # Active variables
y## # A tibble: 157 x 12
## age `specific grav~` albumin `blood glucose~` `blood urea` `serum creatin~`
## <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 48 1.00 4 117 56 3.8
## 2 53 1.02 2 70 107 7.2
## 3 63 1.01 3 380 60 2.7
## 4 68 1.01 3 157 90 4.1
## 5 61 1.01 2 173 148 3.9
## 6 48 1.02 4 95 163 7.7
## 7 69 1.01 3 264 87 2.7
## 8 73 1.00 0 70 32 0.9
## 9 73 1.02 2 253 142 4.6
## 10 46 1.01 1 163 92 3.3
## # ... with 147 more rows, and 6 more variables: sodium <dbl>, potassium <dbl>,
## # hemoglobin <dbl>, `packed cell volume` <dbl>,
## # `white blood cell count` <dbl>, `red blood cell count` <dbl>md=dist(scale(y), method = "euclidian")
md## 1 2 3 4 5 6
## 2 4.0381344
## 3 5.2485265 6.5269082
## 4 4.7049802 4.2691018 5.0420082
## 5 5.0067247 3.9567711 4.5171584 2.3768706
## 6 5.6804640 4.0407549 6.1373353 4.8084656 3.3497374
## 7 4.1520781 4.8825464 2.6835656 4.1128729 3.4093009 5.0154048
## 8 5.6236219 4.9860227 7.2257598 4.7217836 5.2947164 7.3217188
## 9 5.8756750 5.0183678 3.7033757 4.3897271 2.6005668 3.7465750
## 10 5.5121880 4.7052636 5.3096250 3.5054387 2.8627700 4.9182974
## 11 4.0408039 3.2514230 4.5546366 3.0781395 1.9569229 2.8499351
## 12 3.8172544 4.6643187 4.9318859 4.2513847 3.5983627 3.9048539
## 13 6.5406000 5.7663405 7.2586411 5.0312111 4.6845802 4.5114441
## 14 5.6218070 6.1428470 3.2119560 5.0673071 4.2727479 5.7160528
## 15 5.6662229 6.1430309 5.2525845 6.6333817 5.8550734 6.0338397
## 16 3.9815832 4.8545698 2.6884133 3.4238433 2.7686425 4.3771056
## 17 5.3861292 5.8084081 2.5374708 3.7113535 3.0802077 4.8798717
## 18 5.2386092 4.0539807 5.8036807 4.0318822 3.3993180 3.9038612
## 19 13.6791275 13.3336938 12.9283898 12.1319794 12.2131615 12.7920422
## 20 6.2734466 4.4869311 6.9692652 3.9456331 3.4457795 4.7020257
## 21 6.0333611 5.8936848 6.3623860 6.4919553 5.4722585 5.3126660
## 22 4.1555196 4.1992283 4.8527324 3.5299122 3.0957310 4.5549115
## 23 5.1444216 5.2785880 4.0643609 3.3030259 3.9048782 6.1374586
## 24 7.2288515 5.8212286 6.6511009 5.2977509 4.6394805 5.6882763
## 25 5.3009110 4.5307723 5.1834603 5.0394531 4.0329578 3.7003562
## 26 4.4791749 2.9329583 6.1163502 3.5720174 4.1271643 5.1413460
## 27 3.6648644 4.2376124 5.9387576 4.0505441 4.4538437 5.2795007
## 28 6.5767078 4.4175841 6.9897159 5.0409132 4.5892343 5.1088881
## 29 4.4077098 5.1966537 2.7995245 3.0643186 2.9402772 4.4947777
## 30 5.6032798 5.5602499 7.1462193 5.6403869 5.4674637 5.9570345
## 31 4.2303368 3.2489566 5.9371071 3.8042240 3.5426015 3.9498942
## 32 8.0691972 6.7085703 7.6058896 6.3793202 6.5004559 7.4595370
## 33 5.9622177 5.0525270 4.9821858 3.9460985 3.5821274 4.1503281
## 34 5.3903230 4.5982976 4.6593224 4.6545275 3.5606316 3.6452207
## 35 4.1215049 4.8201104 2.9839904 3.5331049 2.7348345 4.1555115
## 36 6.9168634 7.5218384 3.1548141 6.3648513 5.7959576 7.5184715
## 37 4.8952661 4.6703694 4.3717506 2.9657263 2.8250470 3.4774385
## 38 5.4339758 4.2650340 6.3182906 5.2064940 4.9384302 5.7525624
## 39 3.3574403 3.5390038 4.1554590 2.8532961 3.2648745 4.7041172
## 40 5.8705340 4.6214703 7.2379269 5.5522832 4.9243534 4.2094212
## 41 6.7104831 7.2342140 2.7653673 5.9968949 5.2194423 7.1492018
## 42 7.8574168 7.0275499 8.2406444 6.0615490 5.8250690 6.2470014
## 43 6.4068756 5.4584269 6.2723436 6.7935462 5.6358621 5.6931797
## 44 8.0457844 7.2057721 7.9517314 8.3126063 6.8942122 6.3696903
## 45 7.2847314 6.2819589 6.9936139 7.1744778 5.7192092 5.5036606
## 46 6.5170657 5.8975639 6.3180949 7.1630453 5.9250975 5.9114337
## 47 6.2450765 5.2395860 6.3576321 6.6617751 5.3370372 5.2871586
## 48 7.4191518 6.6170669 7.0622918 7.7868643 6.3826994 6.1553914
## 49 7.2353228 6.2080737 6.4274766 6.6763172 5.5128394 5.8748458
## 50 5.9407783 5.3697745 6.4494804 6.7612577 5.5299170 5.6587198
## 51 6.1891753 5.7158267 6.2631726 6.6357344 5.4274116 5.6535608
## 52 5.9527513 5.9044365 6.1746706 7.1098712 5.8077015 5.6939443
## 53 6.8850281 6.3251929 6.3878673 6.9361224 5.5457613 5.7154930
## 54 6.0922370 5.8860888 5.8069405 6.7259344 5.4057394 5.5442554
## 55 5.8094328 5.4992791 5.8130479 6.5543283 5.3934564 5.7039153
## 56 6.0191181 5.4727156 6.0344612 6.6296351 5.2915146 5.4738412
## 57 6.2095763 6.1049992 5.7674542 6.8244802 5.4903132 5.5913273
## 58 7.1964658 6.4370329 6.7135571 6.8455030 5.5248769 5.7988573
## 59 5.6104954 5.2179395 5.3749401 5.9880909 4.8670433 5.4001612
## 60 7.1155180 6.1211380 6.4742183 6.8699401 5.4652730 5.4758017
## 61 7.0473143 6.4497026 6.7630333 7.5904204 6.2078147 5.8730664
## 62 7.0446416 6.2782344 6.7256902 7.1763086 5.7480901 5.4696941
## 63 6.9049198 5.9420879 6.7400729 6.7869644 5.4957263 5.4011498
## 64 6.2947827 5.7110673 5.8362252 6.7876131 5.5411163 5.6205512
## 65 6.1035297 5.9881914 5.6944173 6.6939106 5.4292734 5.5934883
## 66 6.3614991 5.6703955 6.1914837 7.0642739 5.6168433 5.3937551
## 67 6.6436735 5.9990946 6.4341262 6.9076013 5.5777609 5.8304590
## 68 7.0936343 6.7158404 6.7163779 7.9351152 6.5091564 6.1734449
## 69 7.3901121 6.4101475 6.5700335 7.1230433 5.6512782 5.7231174
## 70 5.8640217 5.7013250 6.0857398 6.8949862 5.5354198 5.4615567
## 71 7.3479149 6.7844898 7.2258439 8.1910572 6.7031510 6.1967745
## 72 6.0902848 5.9124006 6.1675848 6.8965179 5.7773110 6.0288148
## 73 7.0498255 6.3622549 6.7839988 6.9035888 5.8247767 6.2378288
## 74 6.5539275 6.1805896 6.4560015 7.0314133 5.7069697 5.7325787
## 75 6.6255107 5.8069572 6.1880669 6.8466157 5.3942929 5.3600074
## 76 6.6342948 6.0858573 6.9864321 7.4170919 6.1188206 6.0395587
## 77 6.4394632 6.2256196 6.1613941 7.1356579 5.7726434 5.8954971
## 78 5.7567337 5.0882708 6.2721659 6.4481331 5.1422778 5.2004958
## 79 7.5080073 6.7571829 6.5868568 7.0013348 5.6980968 6.1698699
## 80 7.2670855 6.5052680 6.8088688 7.3037582 5.8889464 5.6689590
## 81 6.0916935 5.3739606 5.9858559 6.5933869 5.2047646 5.0937358
## 82 6.1912952 5.7435100 6.1584097 6.7688276 5.5650739 5.8141882
## 83 6.5404449 6.4791840 6.0609105 7.3621528 5.9788720 5.9852696
## 84 6.9483238 6.5132798 5.9801310 6.5638257 5.2849865 5.6965035
## 85 6.2343065 5.3386885 6.5272181 6.7998452 5.4227464 5.1814062
## 86 6.4257546 5.6068888 6.3593674 6.3472077 5.1860177 5.6209416
## 87 7.2702086 6.4863630 6.3426697 7.0322387 5.6822559 5.7680020
## 88 6.7321264 6.3315077 6.4953896 7.2381100 5.9569943 6.0278333
## 89 7.0165161 6.0360501 6.3933992 6.7946473 5.3415599 5.3720971
## 90 5.9168602 5.2206594 5.8182832 6.0015059 4.6970639 5.1026116
## 91 6.8710501 6.2869590 6.5668657 7.6172412 6.2605314 6.0970249
## 92 7.4498245 6.7129991 6.8743012 7.2375408 5.8807856 6.1398932
## 93 6.5793458 5.8309163 6.1195891 6.3518758 5.0798423 5.5202444
## 94 6.8571883 6.0595384 6.2615764 6.9286667 5.5263439 5.4360319
## 95 6.5972326 6.1764459 6.4569540 7.2140657 5.8212368 5.9032282
## 96 6.2454323 5.7424125 6.0837963 6.5410720 5.3063930 5.5680236
## 97 7.7178940 6.7270909 7.1334639 7.4302687 6.0558331 6.0081945
## 98 7.2158248 6.4080599 7.0794653 7.4130008 6.0290311 5.6775021
## 99 7.1084042 6.2739900 6.0855508 6.6436062 5.1910984 5.3075835
## 100 6.8707140 6.8270838 6.8810594 7.9385908 6.4766528 6.1115376
## 101 6.3821344 5.6414735 6.0089790 6.4848516 5.2153364 5.7577115
## 102 7.1023732 6.3132458 6.9896347 7.6031177 6.1704025 5.8846333
## 103 7.0061989 6.8621833 6.0440577 7.1794508 5.8039903 5.9701394
## 104 5.9365485 5.5570029 6.4515528 6.8238387 5.5131459 5.4449758
## 105 6.9263074 6.2154868 6.7760015 7.3444524 5.9490901 5.6692879
## 106 7.3463284 6.4194219 6.1682021 6.5264347 5.1245145 5.3812911
## 107 6.4599124 6.0673206 6.6268256 7.3313203 5.9658700 5.9782310
## 108 6.6298024 6.1629509 6.6783795 7.7238316 6.2986070 5.9085022
## 109 7.0095126 6.4295914 6.2288985 6.4948731 5.2477545 5.6879751
## 110 6.8716658 6.1315729 7.0990036 7.5409049 6.2837561 6.0149058
## 111 7.2384979 6.5916068 6.8413810 7.6217672 6.2386403 5.9959272
## 112 7.0723267 6.7291519 6.7700197 7.3722280 6.0841326 6.1788651
## 113 6.3100823 5.6705173 6.7782230 6.9233341 5.6399957 5.6198162
## 114 6.3427827 5.9322188 6.2197404 6.9014908 5.4693169 5.4666332
## 115 7.1515784 6.7812693 6.6953853 7.1586779 5.7608666 5.7053123
## 116 7.2291739 6.5559493 6.7842223 7.2485510 5.9056782 5.7332778
## 117 6.9522878 6.7210931 6.8533999 7.5399886 6.2090673 6.0025636
## 118 7.4612269 6.8139216 7.3452308 8.0592800 6.6079938 6.2087165
## 119 6.6679850 5.4203076 6.3801130 6.2791315 5.1889827 5.5308161
## 120 5.9656650 5.7519105 5.7913484 6.6050334 5.3344270 5.5175129
## 121 7.3141269 6.9522827 6.7472800 7.4667027 6.0987387 6.1582487
## 122 6.4947394 5.9132635 6.6267025 7.3907249 5.9961711 5.7395447
## 123 6.5502010 6.4402279 7.0207013 7.7327391 6.4804720 6.2166346
## 124 6.9958203 5.9261414 6.9345906 6.8877075 5.6649843 5.5708357
## 125 6.5116093 5.3999531 6.1397295 6.4104008 5.1385917 5.4197452
## 126 6.9436688 5.8913824 6.9062815 6.9946444 5.8310338 5.8828011
## 127 7.1822658 6.5659857 6.6707825 7.7881012 6.3750266 6.2466842
## 128 7.4381052 6.4980955 7.3424705 7.5974100 6.1791740 5.8920945
## 129 6.6856466 5.8006083 6.1712572 6.1719152 4.9466843 5.5715917
## 130 6.5306747 5.8713508 6.5978412 6.9599981 5.7267802 5.9163490
## 131 7.5286055 6.9191667 7.4396268 8.1358493 6.6160748 6.0438115
## 132 7.6153680 6.9394020 6.8678819 7.2937400 6.0911840 6.4580388
## 133 6.7722139 5.7300722 6.0819563 6.5371833 5.1539813 5.3429266
## 134 7.6641816 6.7867846 6.8979388 7.4630674 6.1298679 6.2574393
## 135 6.8478141 6.1199196 6.7541389 6.8822828 5.6706231 5.9822411
## 136 7.6198513 6.8023449 7.2208669 7.7687021 6.4542486 6.2376243
## 137 6.6879097 6.2569544 6.1645749 6.6405270 5.3807127 5.6629528
## 138 6.8701099 6.2430306 6.8452039 7.5746859 6.1582586 5.8621737
## 139 6.3649230 6.1013657 6.1158851 7.0433802 5.7716650 5.8691774
## 140 7.1287607 6.6197086 7.3168210 8.1599121 6.8386419 6.4452942
## 141 7.0287956 6.3049081 6.2014130 6.9233155 5.5571432 5.6913689
## 142 7.1494197 6.4184002 6.2744318 6.5165763 5.3623112 5.9050515
## 143 7.1134634 6.7188613 6.4948748 7.2987899 6.0146603 6.2116447
## 144 7.1849943 6.6112837 6.9117560 7.7859095 6.2939794 6.0096599
## 145 6.9559015 6.5436034 7.3331673 8.1773599 6.8582891 6.2894636
## 146 6.9689910 6.4534617 6.8486794 7.3679520 6.1668860 6.3035236
## 147 7.1341130 6.4943002 6.9132110 7.8793352 6.3743461 6.0199472
## 148 6.4816744 5.8556570 6.5319882 7.3127805 5.9888985 5.7488904
## 149 7.1540588 6.6137765 7.1082027 7.8330728 6.4888348 6.1123795
## 150 6.8569364 6.4326305 5.9604153 6.8458052 5.3710010 5.6237649
## 151 6.9096444 6.1099156 6.5434168 7.2439981 5.7556649 5.5584534
## 152 5.9833674 5.2688952 5.5945680 5.9843727 4.6576890 5.1890845
## 153 7.1720446 6.7935258 6.0641601 7.0027531 5.5151412 5.7837685
## 154 7.3428299 6.6578492 7.4599684 8.1842504 6.7767102 6.2973410
## 155 6.5787638 6.4674205 6.9978962 7.8153013 6.5345677 6.2834233
## 156 6.8197380 6.1572221 7.0446603 7.8215441 6.3733737 5.9319731
## 157 7.2323360 6.6869507 6.6539881 7.8302411 6.4573929 6.2988820
## 7 8 9 10 11 12
## 2
## 3
## 4
## 5
## 6
## 7
## 8 5.2437196
## 9 2.8993778 6.5388325
## 10 3.7604449 3.9194419 4.2059248
## 11 3.4838666 5.4937566 3.0137560 3.4930166
## 12 3.7637624 6.4059545 4.2716725 4.4330802 2.7529972
## 13 6.6606123 8.1942234 5.8052093 6.2397034 4.0471624 4.0272825
## 14 2.2803383 5.6649558 3.4869806 3.5888600 4.2549940 4.6695193
## 15 3.5290330 6.2375380 4.9330174 5.1595430 5.5123540 5.4552326
## 16 1.8402035 5.6687395 2.6840889 3.9179921 2.4773892 3.1187020
## 17 2.5473975 6.3603512 2.7984055 3.9956021 3.3842198 3.9151101
## 18 3.4809709 4.7670786 3.7862426 3.4532446 3.6752006 3.9487007
## 19 12.9266675 14.2648643 12.2314760 13.1454389 12.3910741 12.3414677
## 20 5.4047315 5.5328382 5.1883320 3.5641399 4.1809903 4.4767328
## 21 4.8400384 7.2091577 4.6272391 6.0980961 5.1097520 4.8047449
## 22 2.9810188 3.8010083 3.8490745 2.5473452 2.7749758 3.6482369
## 23 3.2341211 4.5513035 4.7183267 3.3510266 4.6042447 5.4192700
## 24 5.8116413 7.4325078 5.3790914 5.2578121 5.2020169 5.1882835
## 25 3.8482892 5.9958976 3.5667031 4.5097917 3.4809177 5.0175006
## 26 4.5300381 4.4356852 5.0177611 5.0579999 4.0524260 5.6389364
## 27 4.7957341 5.0687571 5.9592599 3.9431067 4.2250776 4.5703883
## 28 5.2627096 4.6721761 5.3074858 3.4968418 4.9544809 6.4083422
## 29 2.2868394 5.8128878 3.1611376 3.6768871 2.9288122 3.3269765
## 30 5.6635910 5.6648990 6.6213822 4.0970618 5.5391597 5.4057532
## 31 4.7971108 6.1511558 4.8680105 4.6545331 2.9308834 2.9408300
## 32 5.9891024 5.8164688 6.7572616 5.1940343 7.2195856 7.8427735
## 33 4.5661794 7.2377828 3.8755964 4.8504333 3.6427806 3.8929275
## 34 4.0683331 7.1510085 3.6377025 4.4324579 3.1787105 3.2119045
## 35 1.9219116 5.4858107 2.8624803 3.1035194 2.4489117 2.8494134
## 36 3.7273885 7.6686305 4.8526196 5.8566490 6.3921889 6.4707553
## 37 3.6539782 6.0185982 3.4179828 3.8219106 2.3879170 3.4156284
## 38 4.9525085 6.4015290 5.5230595 5.5228923 5.0183075 4.8260468
## 39 2.7308012 4.9995053 4.0678832 4.1648263 3.2170379 3.5579561
## 40 6.5150954 8.2909676 5.8277423 6.6040966 4.1275905 4.2185328
## 41 3.2415418 6.7916566 4.2344461 4.8201563 5.6351921 6.1413926
## 42 7.9759291 9.7178116 7.1012662 7.8508034 6.1662010 6.0476685
## 43 5.0130880 6.0795995 5.0856272 4.8990097 5.0403941 6.4220355
## 44 6.6938280 7.6241631 6.4129094 5.8705802 6.3632329 7.2335044
## 45 5.6328058 6.6758325 5.1489568 5.0550668 5.2824121 6.5369001
## 46 5.2377937 6.7855832 4.9137901 5.8857193 5.1737008 6.5096860
## 47 5.0086016 6.1332693 4.7167286 5.1183007 4.6845583 6.1334198
## 48 5.9219133 7.2130474 5.5848524 5.6949371 5.8480561 6.8267874
## 49 5.1366866 6.0756628 4.7398241 4.8124188 5.2575117 6.7326306
## 50 5.0270712 5.9035536 5.1641103 4.8734550 4.8544568 5.8899868
## 51 4.9846174 5.9634779 5.0133387 4.7134327 4.7963943 5.9526270
## 52 5.2398822 6.9150588 5.2419750 5.5663603 4.8355077 5.8430820
## 53 5.2551269 6.5131645 5.1013340 4.5127961 5.1369638 6.0837161
## 54 4.7332070 6.4626729 4.6867392 5.0748859 4.6292161 5.8175455
## 55 4.5329660 5.9009253 4.6917302 5.0238677 4.6378237 5.8828234
## 56 4.6033527 5.9550907 4.6679492 4.6986112 4.6485781 5.7143352
## 57 4.8927031 6.7035535 4.8471604 5.1311130 4.6954812 5.8315330
## 58 5.2588322 6.1028682 5.0182092 4.5195597 5.2334464 6.2580704
## 59 4.2691433 5.7333162 4.2291179 4.6835358 4.1385114 5.5744015
## 60 5.2257729 6.4468312 4.7639621 4.7988319 5.0739177 6.4241134
## 61 5.8655827 7.3617322 5.5723796 5.6180869 5.4941338 6.5957539
## 62 5.8429043 7.1831020 5.3614836 5.1342879 5.1708432 6.4256318
## 63 5.6419143 6.5324976 5.2712121 4.7273931 5.0064890 6.4156210
## 64 4.9094254 6.6733516 4.5440646 5.5801862 4.7783288 6.2699174
## 65 4.7399723 6.5557009 4.6745840 5.2049580 4.5919556 5.8319716
## 66 5.0554883 6.7950306 4.7679813 5.4934165 4.8539712 6.1508260
## 67 5.0260921 6.1982421 4.8385633 4.9390973 5.1069413 6.0441763
## 68 5.9309952 7.7224656 5.7116070 6.0366130 5.7790998 6.7864704
## 69 5.3148128 6.7760564 4.6175326 5.2141431 5.3430957 6.5636998
## 70 5.2502206 6.8530980 5.2829599 5.1032745 4.6969638 5.7225089
## 71 6.1127293 7.6718744 5.8273763 6.1996494 5.9619486 6.8550243
## 72 4.9584993 6.3457644 4.9422350 5.7350621 4.9699005 6.1746426
## 73 5.2379710 5.9074540 5.0615837 5.2338656 5.4062986 6.5152539
## 74 5.2303107 6.5231707 5.1268411 5.0683842 5.0270157 6.0443071
## 75 5.0907459 6.7009484 4.5245669 5.2095050 4.8202217 6.1803280
## 76 5.5046224 6.3780685 5.7365244 5.1088450 5.5099399 6.3041161
## 77 5.0914141 6.7666127 4.9957265 5.3316773 5.1125846 6.0701620
## 78 4.8920505 5.8706344 4.9439970 4.5380819 4.4137905 5.5241184
## 79 5.0122125 6.0985452 4.8141546 4.9162263 5.5529337 6.5902229
## 80 5.6930842 7.0390067 5.1854939 5.3666666 5.3337967 6.6061544
## 81 5.1073630 6.6619988 4.7878809 5.0371550 4.4812796 5.9935690
## 82 4.8288121 6.0028321 5.0258656 4.7583173 4.9602678 6.0429237
## 83 5.1013262 7.0968631 4.9388962 5.8109098 5.1534046 6.0667125
## 84 5.0020696 6.3723546 4.7502024 4.4565810 4.9079462 6.1404986
## 85 5.2789424 6.4742760 4.9293056 5.2752535 4.6651838 6.0704053
## 86 4.8664009 5.4736415 4.8384757 4.2273080 4.7934910 5.9647516
## 87 5.3181969 6.8391128 4.6806843 5.3201169 5.2180307 6.5608497
## 88 5.0680821 6.3731971 5.1609439 5.2803104 5.3084762 6.2707115
## 89 5.2178610 6.5366422 4.7485925 4.6459716 5.0053867 6.3574629
## 90 4.3489367 5.5408222 4.1634528 4.3406262 4.1279086 5.5171819
## 91 5.2827188 6.9151725 5.1516607 6.0190918 5.5595861 6.7453053
## 92 5.3871272 6.4431462 5.0450784 5.0686337 5.5996813 6.4752873
## 93 4.5738779 5.6091549 4.4102216 4.4602562 4.6902673 5.9359067
## 94 5.1756114 6.6978272 4.7917255 5.0019981 4.9616886 6.3238052
## 95 5.1327453 6.6362491 4.8767782 5.6092590 5.1680392 6.0678936
## 96 4.7778263 5.9580177 4.7509721 4.6227384 4.6886574 5.8714748
## 97 6.0115703 7.0139249 5.5178902 5.1040627 5.7732579 6.8739908
## 98 5.9620608 7.0411657 5.5550592 5.3605102 5.4057007 6.6057684
## 99 5.0743328 6.7189904 4.2931036 5.0202788 4.7830351 6.2908562
## 100 5.9920391 7.7265473 5.8792044 5.9823806 5.6323072 6.3367802
## 101 4.3870716 5.5270519 4.4091841 4.5844378 4.8800252 5.9800416
## 102 5.7590426 7.0951775 5.3167288 5.8309350 5.5250277 6.5818070
## 103 5.0842288 7.0326018 4.8228524 5.5129089 5.2067532 6.3166219
## 104 5.3299148 6.4377182 5.3799663 4.9422012 4.7315001 5.7762736
## 105 5.7905668 7.1563443 5.3250144 5.5356724 5.2690849 6.4601731
## 106 5.1607803 6.6703356 4.2332924 4.9203627 4.8504124 6.4024268
## 107 5.2618077 6.5586955 5.2404496 5.4852732 5.2967009 6.1319010
## 108 5.6504738 7.3440567 5.4518781 6.0831062 5.4534064 6.5358605
## 109 4.9782811 6.1114879 4.6155286 4.6341523 4.8955958 6.1902498
## 110 6.1122375 7.1748726 5.8429401 5.7416788 5.5861775 6.6960442
## 111 5.7264358 7.1910850 5.3743741 5.7186022 5.6051317 6.7519091
## 112 5.7217624 6.9179195 5.4893870 5.3908283 5.5261445 6.4404013
## 113 5.3402368 6.1028651 5.5070702 4.6322811 5.0578169 6.0727319
## 114 5.0315297 6.5361185 4.8899889 4.9171042 4.7772862 5.7449222
## 115 5.6991343 7.0565039 5.3102871 5.1781503 5.1604737 6.1463187
## 116 5.8912341 7.1647337 5.4027942 5.3223128 5.3400750 6.6374300
## 117 5.8979875 7.2264518 5.8378190 5.4183493 5.4645109 6.3037945
## 118 6.1741937 7.5120504 5.8255719 6.0429832 5.9771446 6.9305993
## 119 4.8733868 5.4820874 4.5855991 4.6652070 4.8196352 6.4559334
## 120 4.8371342 6.4498001 4.6785159 5.1422326 4.5066030 5.7122742
## 121 5.4004863 6.9117469 5.1375327 5.8298055 5.5438644 6.5357145
## 122 5.6348586 7.1474562 5.3030538 5.8508068 5.2388011 6.4323960
## 123 5.9835953 7.1852054 6.0292468 5.9761498 5.5569066 6.3654698
## 124 5.6846120 6.3670497 5.3882933 4.7481626 5.1799509 6.5389150
## 125 4.6120025 5.7753864 4.2652702 5.0120866 4.7309493 6.3293825
## 126 5.3708861 5.9825421 5.1806509 5.2036639 5.3442888 6.7323593
## 127 5.3953850 7.1746360 5.0471083 6.2736208 5.7471502 6.8468434
## 128 6.0953670 7.0722957 5.6531308 5.4258555 5.7013509 6.7496252
## 129 4.5126831 5.3714611 4.2660351 4.4480237 4.7138213 6.0328686
## 130 4.8837572 5.8403871 4.9205753 5.2477008 5.1424161 6.1880235
## 131 6.3242067 7.7472977 5.9697596 6.0504700 5.9383350 6.8701793
## 132 5.3475556 6.3138685 5.1461666 5.3317948 5.7911142 6.7455011
## 133 4.7485044 6.1109431 4.2618527 4.7958111 4.7656116 6.2590347
## 134 5.5813730 6.9690976 4.8914049 6.0216885 5.7775329 7.0242524
## 135 5.0725187 5.8255284 4.9320065 5.1408677 5.2371804 6.3130857
## 136 5.8379043 6.9187303 5.5555348 5.7851099 5.8963044 7.0280734
## 137 4.9449787 6.2904181 4.6322305 5.0736727 4.7856078 6.0077315
## 138 5.5722380 7.0824563 5.1606712 6.1685767 5.4006438 6.6062019
## 139 4.8449751 6.3982246 4.9116568 5.3965305 4.9968439 6.0614315
## 140 6.1092954 7.4685866 5.8875780 6.5901194 6.0036966 6.9836590
## 141 5.0962686 6.8769125 4.3316029 5.8878885 5.0228439 6.4865904
## 142 4.9128997 5.8315325 4.7825313 4.2577718 5.1364342 6.3420708
## 143 5.1363049 6.5287947 5.0577601 5.4027640 5.4861245 6.4552554
## 144 5.8364896 7.4691049 5.3271532 6.1042649 5.6564138 6.7369086
## 145 6.4015234 7.7288525 6.3862450 6.2756319 5.9704080 6.9368306
## 146 5.4370264 6.3755776 5.4240313 5.3548000 5.6011896 6.5056278
## 147 5.6995499 7.3295818 5.4038039 5.9754550 5.7123683 6.6813585
## 148 5.3326523 6.7820031 5.1414547 5.8276235 5.1652856 6.4426447
## 149 6.1185526 7.4874850 5.7383736 6.1067895 5.7088882 6.7992243
## 150 4.8249460 6.6409898 4.3675470 5.0073964 4.8874248 5.9297937
## 151 5.4042347 6.9300819 4.9424313 5.4406871 5.1666077 6.3429146
## 152 4.1610576 5.4668043 4.1336976 4.0090981 4.2338809 5.5384378
## 153 4.9884609 6.8288004 4.5571615 5.0187424 5.1297882 6.1454300
## 154 6.1384259 7.3683757 5.9189662 6.2484469 6.0345114 6.9545157
## 155 6.0432080 7.3219799 6.2166455 5.7819835 5.7093384 6.4406538
## 156 6.0500439 7.5070805 5.8237928 5.9543087 5.6439125 6.5695001
## 157 5.5254757 7.2436362 5.2389418 6.1624423 5.7860029 6.8722833
## 13 14 15 16 17 18
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14 7.3544786
## 15 8.7731124 3.3061806
## 16 5.4991752 2.8499249 4.6045000
## 17 5.6371295 2.7943000 5.3155643 1.8991930
## 18 6.0554678 4.2742270 4.1620180 3.8987541 4.3770250
## 19 12.0450160 13.4226351 13.9521360 12.5713938 13.0038971 12.9054205
## 20 4.7264929 6.1800139 7.2971604 5.4049153 5.2915995 3.9044528
## 21 7.4521045 5.3739905 4.5461102 5.0018022 5.8386400 4.2346491
## 22 6.1449456 3.1684546 4.0074126 2.7783796 3.8921225 2.9949893
## 23 7.4857699 3.7551004 5.2689082 3.8193889 3.5823666 4.3691181
## 24 5.0566120 6.5904974 8.0906596 5.9375863 5.2027016 5.3917793
## 25 6.9649825 3.9960220 3.8119440 3.6204667 4.6399989 3.8159859
## 26 6.8130136 5.9208199 6.0773832 4.4927004 5.4819835 4.0717683
## 27 6.9832032 5.4562289 5.5732920 4.7829179 5.6028304 4.6900544
## 28 7.9840376 5.2851858 5.1497240 5.7393349 6.0475532 3.7477363
## 29 5.5854431 2.7951476 4.6378407 1.4756603 1.7328897 3.8049538
## 30 8.0823551 5.8164123 5.3189401 6.0688156 6.6630928 4.7914794
## 31 3.5629477 5.9937236 6.8870823 4.3822627 4.7494490 4.3236971
## 32 9.7118508 6.0155103 5.7374251 7.0869363 6.8272057 4.7752697
## 33 4.2621974 5.2226076 6.6280638 4.1872679 3.5742290 4.3686207
## 34 4.3615598 4.7228459 5.9077808 3.9595017 3.7472886 4.3966292
## 35 5.5920996 2.2672235 4.0274779 1.3442086 2.1636900 3.5615256
## 36 8.9473832 4.1022835 5.5340288 4.9017989 4.1989379 6.2226116
## 37 4.6787695 3.8680414 5.3017668 2.5827419 2.7404368 3.5902970
## 38 6.0421194 6.4297551 6.9482427 5.5449533 5.5516267 4.7268595
## 39 5.5574381 4.4648594 5.3042980 2.9233313 3.4327277 3.4354057
## 40 2.6680878 7.6870571 8.5570452 5.7916074 6.1570744 6.0806792
## 41 8.5644235 2.6048749 4.9007194 4.1578045 3.6240739 5.9528804
## 42 4.0671656 9.2595895 10.6513333 7.2067392 7.0435018 7.6178083
## 43 8.6264336 4.4713453 3.9761903 5.3789927 6.2371420 5.3887230
## 44 9.3367891 5.7289619 5.0579514 6.8743298 7.5834976 6.4163430
## 45 8.4861797 4.8419155 4.5672023 5.7063203 6.4818867 5.4216717
## 46 8.6973786 4.8820602 4.3780794 5.3260295 6.3955435 5.7724690
## 47 8.2934033 4.7077369 4.2247411 5.1109052 6.1419264 5.1937925
## 48 9.2036800 5.0769177 4.3368637 6.1749030 6.9149765 5.9852248
## 49 8.7041177 4.1937395 4.1798970 5.3360935 5.9705340 5.1221613
## 50 8.4289945 4.6510505 3.9982748 5.2725861 6.3464804 5.2513153
## 51 8.3603151 4.2989411 4.0313951 5.0787038 6.0502246 5.2877131
## 52 8.1830174 4.8496996 4.6015831 5.1571601 6.3426701 6.0558802
## 53 8.4523376 4.2147859 4.1961469 5.4325884 6.0761760 5.4662365
## 54 8.0427576 4.1540148 4.2428574 4.7109337 5.7433452 5.5327794
## 55 8.2732071 4.1075142 3.8641922 4.6712643 5.7859501 5.2540593
## 56 8.1404947 4.1471971 3.7511524 4.8847338 5.9179874 5.0346956
## 57 8.1165089 4.1658409 4.3376192 4.7621530 5.7474789 5.8187525
## 58 8.4404733 4.1967554 4.1621223 5.3967123 6.0608496 5.0552926
## 59 7.8449018 3.8612883 4.0374786 4.2321956 5.3301359 5.0837314
## 60 8.4636843 4.3111148 4.2096229 5.3476565 6.0123956 5.2482935
## 61 8.8090196 5.0730075 4.6561408 5.9347898 6.7735705 6.2497002
## 62 8.4222566 5.0282658 4.9851889 5.7889008 6.5192017 6.0315642
## 63 8.3537294 4.8623182 4.7934519 5.6318476 6.3993908 5.6264636
## 64 8.3610511 4.5231147 4.3647586 4.8991888 5.9459570 5.6801389
## 65 7.9745819 4.1294781 4.3656680 4.5935521 5.6570325 5.6729049
## 66 8.3099085 4.7340916 4.3088419 5.1545407 6.2171396 5.6472130
## 67 8.5096022 4.3580556 3.8775905 5.2976047 6.1805673 5.1107149
## 68 9.1255009 5.2269233 4.6938426 6.0699226 6.9580933 6.5851488
## 69 8.6301162 4.5025676 4.2833518 5.5131106 6.1879722 5.2829793
## 70 8.0777622 4.8512529 4.7852997 5.2239006 6.2448482 6.0485098
## 71 9.1975186 5.4193874 4.5712603 6.2910641 7.2093533 6.3685680
## 72 8.4272369 4.6694622 4.4171936 4.9149256 6.1325431 5.6373893
## 73 8.6902851 4.4738924 4.1779536 5.3702097 6.2450176 5.0842062
## 74 8.3335027 4.4776343 4.2545840 5.2706649 6.2434848 5.5570695
## 75 8.3003064 4.5690011 4.3346826 5.1520383 6.0736900 5.4311730
## 76 8.8110947 4.9122262 4.0848946 5.8765106 6.8441715 5.6111551
## 77 8.5094546 4.4846042 4.1999126 5.2246680 6.2324667 5.7433607
## 78 7.9058115 4.5623529 4.2006693 5.0106052 6.0825943 5.1336452
## 79 8.6949371 3.9902010 4.0968567 5.2875568 5.8289783 4.9710562
## 80 8.5370951 4.8442784 4.7124554 5.6745279 6.4697819 5.7916034
## 81 8.0557631 4.7510907 4.7179774 5.0366482 6.0097625 5.7395732
## 82 8.4580109 4.2245091 3.8507959 5.1493905 6.1193387 5.2991826
## 83 8.4794473 4.4476841 4.2260472 5.0587464 6.1051550 5.9668704
## 84 8.2290052 3.7343858 4.3675774 4.9112503 5.4895154 5.4442046
## 85 8.1448779 5.0254330 4.5813645 5.2496829 6.3757485 5.4918334
## 86 8.2999135 4.1164803 3.8740592 5.0994257 5.9394701 4.7861893
## 87 8.5846497 4.3503738 4.3590185 5.3046305 6.0047328 5.5628588
## 88 8.5960739 4.3074775 3.8807736 5.2785517 6.2370419 5.4479788
## 89 8.3662474 4.4164515 4.3819118 5.3875209 6.0736226 5.3206371
## 90 7.6445318 3.9181288 4.0550580 4.3686777 5.3943885 4.6367212
## 91 8.9908746 4.8196464 4.1145886 5.5288421 6.5344551 5.8180838
## 92 8.7443797 4.4173368 4.1260556 5.6487738 6.3190157 5.1557760
## 93 8.0860696 3.7848603 3.8994280 4.6876803 5.4802020 4.6630480
## 94 8.3333868 4.3833863 4.3201414 5.2527775 6.0433246 5.5329546
## 95 8.5195878 4.6366898 4.1439172 5.2221555 6.2410640 5.4608246
## 96 8.1579898 4.0574039 3.9540569 4.8949474 5.8448181 5.1328911
## 97 9.0129676 4.9717249 4.6764158 6.2052652 6.7545436 5.7955690
## 98 8.6643712 5.0986413 4.7696694 5.9281642 6.7267434 5.9341599
## 99 8.0841655 4.2143208 4.6081584 4.8956182 5.5972117 5.3907168
## 100 8.6915981 5.3258589 4.9824308 5.9740864 6.9517662 6.5896574
## 101 8.4430322 3.8453760 3.4363541 4.8310720 5.7182882 4.6310415
## 102 8.8691202 5.1748314 4.4143785 5.8749389 6.8336292 5.8301256
## 103 8.3241783 4.1667877 4.6121294 4.9450866 5.7497730 5.8782466
## 104 8.1627675 4.9142489 4.6277166 5.3211355 6.3802221 5.7518835
## 105 8.6210052 5.1138014 4.7234399 5.7819276 6.6773997 5.9921159
## 106 8.0649586 4.1997222 4.7745608 4.9537069 5.5373349 5.3012871
## 107 8.7253224 4.7916978 4.0109889 5.4911287 6.5658102 5.5754472
## 108 8.8732647 5.2601821 4.5203706 5.7734719 6.8569979 6.2337750
## 109 8.1277586 3.9014927 4.4442331 4.8477474 5.5113633 5.1266508
## 110 8.9741297 5.5588892 4.9184141 6.2209666 7.1333065 6.2517590
## 111 8.8769339 4.9441993 4.4859496 5.8509806 6.7196501 5.9789165
## 112 8.8381030 4.7641251 4.5246588 5.7282781 6.5409558 5.9429225
## 113 8.3534683 4.8295715 4.4405232 5.6053000 6.5233591 5.4015995
## 114 8.1309489 4.3735804 4.1448330 5.0898310 6.0672787 5.4626806
## 115 8.1807583 4.6930268 4.9175751 5.4323809 6.2338952 5.9451314
## 116 8.6156496 4.9725135 4.9350932 5.7829266 6.5552660 6.0876063
## 117 8.5696780 4.9944763 4.8254334 5.8347987 6.7099948 6.3087708
## 118 9.2072862 5.4589001 4.6729030 6.3387006 7.2520761 6.2550644
## 119 8.3681752 4.2960360 4.1692423 5.0560909 5.8316788 4.7235890
## 120 8.0492668 4.2719049 4.3091636 4.6802205 5.7383165 5.5869866
## 121 8.5159072 4.6653165 4.6946213 5.3209896 6.2043944 5.7298787
## 122 8.7275647 5.3121207 4.7162390 5.6951432 6.7664297 6.0888537
## 123 8.8502756 5.3969743 4.7756615 5.9336498 7.0351301 6.4281574
## 124 8.5003309 4.8883842 4.6318014 5.7971626 6.5540825 5.4821031
## 125 8.2583878 4.3283845 4.1820884 4.8027296 5.7089735 4.7897119
## 126 8.8248241 4.7420170 4.1506120 5.5902810 6.4742537 5.1728976
## 127 9.0798260 4.9322133 4.2333641 5.6421354 6.5973078 5.8422051
## 128 8.9259683 5.3166952 4.7068413 6.2488311 7.0451143 5.8534959
## 129 8.0569269 3.8560289 4.0846832 4.6381904 5.3916191 4.4394835
## 130 8.4802956 4.4327128 3.8621943 5.1440282 6.1651816 4.9410516
## 131 8.9927857 5.6063476 5.0104203 6.3840022 7.2885886 6.4533682
## 132 8.9294333 4.2927344 4.0860380 5.5760280 6.2340118 5.2400637
## 133 8.2819277 4.0709541 4.0295359 4.8971219 5.6401882 4.9259411
## 134 8.9475798 4.9546056 4.7270327 5.6964696 6.4338887 5.5628364
## 135 8.5332862 4.4789031 4.0590332 5.2467312 6.2005606 4.9117360
## 136 9.1230278 4.9079276 4.3203927 6.0047878 6.7753273 5.7630435
## 137 8.0646325 4.1331641 4.3637220 4.7433114 5.6794870 5.3161947
## 138 8.7214196 5.2262661 4.6186967 5.5649067 6.6762772 5.8720824
## 139 8.4009439 4.2056268 3.9548341 4.9018229 5.9320299 5.5164416
## 140 9.3136081 5.6657596 4.6329735 6.2438552 7.3727027 6.3776679
## 141 8.2636782 4.6918042 4.8173876 4.8928415 5.8375263 5.5752155
## 142 8.3749842 3.6715420 4.0839115 5.1011015 5.6201362 4.9527810
## 143 8.7294208 4.1977995 3.9632517 5.2861163 6.1410812 5.4922425
## 144 8.9683058 5.2784732 4.7125196 5.9003730 6.8535187 6.1275936
## 145 9.2257266 5.8690474 5.1039041 6.5191602 7.5209908 6.8457935
## 146 8.9622299 4.5747459 3.9349752 5.6944349 6.5565582 5.4803611
## 147 9.0302174 5.1372118 4.2837154 5.9493662 6.9162230 6.0113146
## 148 8.6636319 4.9567787 4.3221890 5.4003494 6.5026675 5.8025328
## 149 9.0037122 5.4289653 4.8399525 6.1081803 7.0688485 6.3584294
## 150 8.1586161 3.8927303 4.1160516 4.8067678 5.5844861 5.2988052
## 151 8.5758271 4.7869410 4.3360910 5.4823434 6.3650740 5.6668782
## 152 7.8330184 3.5825670 3.7092258 4.3928290 5.2873978 4.6100695
## 153 8.2956672 3.9082484 4.2788735 4.9723841 5.6645257 5.4974897
## 154 9.3064460 5.5052896 4.4488982 6.3548221 7.3220517 6.1705773
## 155 8.9592894 5.4698628 4.8664872 6.1777899 7.1870588 6.5866350
## 156 8.9588710 5.6678444 4.8693047 6.2485204 7.2191603 6.3912667
## 157 9.1944040 4.8104083 4.1209029 5.7281020 6.6138928 6.0111743
## 19 20 21 22 23 24
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20 12.9181373
## 21 13.4594204 6.8530614
## 22 12.8085730 4.9035391 4.6741942
## 23 13.4840186 5.2073151 6.8656463 3.9242009
## 24 13.3854794 2.9673554 7.5525452 6.5306480 5.9033460
## 25 13.0367403 6.4202839 4.9760959 3.1111529 5.1488753 7.6447420
## 26 12.9449399 5.5765966 6.3729631 4.1173612 4.4524225 6.9498022
## 27 13.4248754 5.3429257 6.2843307 3.6617064 4.1234663 7.0120837
## 28 13.8192848 5.1647260 6.4708368 4.0782135 4.4605269 6.9289806
## 29 12.2904701 5.2611802 5.3492676 2.9710902 3.1865668 5.8052308
## 30 13.5879294 5.6150298 6.2726062 4.3649809 5.2153596 7.4802285
## 31 13.0474660 3.2260919 5.9459993 4.6796911 5.3538857 3.7112629
## 32 14.3459046 6.2893464 7.6994612 6.0677793 4.5544034 7.2526049
## 33 12.2596275 4.1208719 5.7945965 5.1594984 4.8759011 3.4577049
## 34 12.2493060 4.0058331 5.8969035 4.8329375 5.0941658 3.4611946
## 35 12.4600805 5.0258212 4.9028081 2.2701988 3.5353622 5.7622027
## 36 13.6516804 7.2047091 7.1196541 6.2390869 4.2129475 6.4200713
## 37 12.5354234 4.9089698 5.2348035 3.1274325 4.1025370 5.7167182
## 38 13.6493771 3.8679276 6.6984023 5.9859808 5.3318949 3.1956218
## 39 12.8522513 4.3246667 5.6834795 3.7343107 3.1238517 4.8098589
## 40 12.5880336 4.7121792 7.3598593 6.5275121 7.5016811 4.6401332
## 41 13.4330442 7.0518754 6.8906322 5.1213819 4.0224896 6.7810897
## 42 12.6170397 5.3566107 8.9607912 8.3021674 8.2992352 4.8301213
## 43 13.7970505 7.3790865 6.1228492 4.1425431 6.0950730 8.5534181
## 44 14.4846057 8.2328526 6.6797831 5.3665343 7.9100353 9.6097587
## 45 14.0214515 7.4451783 5.8847983 4.3054845 6.9764894 8.8301356
## 46 13.9515087 8.1155096 4.9255541 4.4364793 6.9519703 9.1112831
## 47 14.0138834 7.3578318 5.2802622 3.9486372 6.4281477 8.5923053
## 48 14.4068655 8.1016879 5.4593725 4.9036211 7.2263314 9.2131249
## 49 13.8650950 7.4663406 5.6056758 3.9782137 6.1806502 8.7004986
## 50 14.0942227 7.2500527 5.0228550 3.7435985 6.4121537 8.5755336
## 51 14.1033049 7.3378870 5.1877475 3.5751063 6.2918467 8.6569015
## 52 13.6938060 7.8485781 5.6250241 4.2573267 7.0197910 8.9543038
## 53 14.0430803 7.2062661 5.6090905 4.0264937 6.4020376 8.4385471
## 54 13.8637920 7.5044247 5.4486782 3.8177819 6.5302695 8.5783762
## 55 14.0204130 7.4827209 5.0523569 3.5688518 6.2191358 8.6016326
## 56 13.6305418 7.0784974 5.1331976 3.5889266 6.2831688 8.2835760
## 57 13.8231650 7.6867504 5.9011657 3.9912177 6.5316143 8.7621915
## 58 13.9882395 7.1771492 5.5496406 3.7979684 6.4905297 8.5814726
## 59 13.4989543 7.1684028 4.9344510 3.2331736 5.7887516 8.2613881
## 60 14.0404184 7.3520252 5.7310403 4.0968226 6.4320714 8.5811015
## 61 13.9646254 8.0650972 6.0709360 4.8189507 7.1838036 9.1918207
## 62 13.9931213 7.5852304 6.0944692 4.5847562 6.9315309 8.8188580
## 63 13.7832451 7.2928758 6.2084806 4.1705920 6.5314026 8.7172181
## 64 13.6665177 7.8872283 5.2358185 4.1991290 6.5718775 8.8410809
## 65 13.6786304 7.6590704 5.6690388 3.8533074 6.5558034 8.7068912
## 66 13.6805146 7.6781914 5.6901740 4.3531515 6.8176402 8.7422884
## 67 13.8511252 7.3354840 4.4766241 3.8504811 6.5700504 8.5325714
## 68 14.0987357 8.4440240 6.1083233 5.1574936 7.4453293 9.4467606
## 69 13.8446672 7.5502796 4.9303699 4.3487642 6.8183591 8.6426712
## 70 13.8518371 7.4183225 6.0161677 4.2888687 6.6500619 8.5499165
## 71 14.4422300 8.4623682 5.7195614 5.1879175 7.8130936 9.5501463
## 72 14.1009985 8.0007586 4.8615182 3.9990021 6.8611461 9.0919163
## 73 14.0480004 7.6803645 4.8293822 3.8447176 6.7157192 8.9900149
## 74 13.8657781 7.5677195 5.3949757 3.9309137 6.8374536 8.8360300
## 75 13.6681813 7.5107884 5.0130563 4.1299831 6.6637285 8.6069773
## 76 14.0233642 7.5092627 5.9658577 4.3135467 6.9137997 8.8950382
## 77 13.7642416 7.7577108 5.0897049 4.1510532 6.8516157 8.8457917
## 78 13.6921240 6.8473479 5.4441436 3.5732394 6.2448790 8.2195237
## 79 14.3396500 7.4100209 5.7133835 4.1213200 6.4867438 8.5959699
## 80 13.9975822 7.7988671 5.8397750 4.4690870 7.1372471 9.0385505
## 81 13.7590540 7.3587034 5.9939781 4.1836125 6.3644666 8.5032138
## 82 13.7525944 7.3071035 5.4594612 3.7473759 6.2839340 8.5358667
## 83 13.9486412 8.1747390 5.1922226 4.3796035 7.1257308 9.1153855
## 84 14.0205002 7.3462723 5.9223937 3.7537285 6.1373478 8.5492429
## 85 13.6884893 7.4425982 5.5769670 4.1008353 6.7759296 8.7523590
## 86 13.7517486 6.8941036 5.1294614 3.3206063 5.9416764 8.3200427
## 87 13.9042472 7.8504126 5.2950055 4.2822232 6.7233696 8.9205503
## 88 13.9990969 7.7506820 5.7052936 4.0734335 6.8423994 8.9529290
## 89 13.6632450 7.1611199 5.8477424 4.1260445 6.4020148 8.4107254
## 90 13.6207132 6.7290480 4.9453376 3.0592715 5.9569708 8.0146986
## 91 14.4086164 8.2744774 5.6164503 4.7052327 7.1849266 9.2771781
## 92 14.0954089 7.4949826 4.8176077 4.1666852 6.9020834 8.7242911
## 93 14.0435685 6.9925100 5.2272105 3.3662339 6.0428093 8.2614864
## 94 13.6940473 7.4923223 5.9578592 4.1933860 6.5675905 8.6443747
## 95 14.2478024 7.8167137 4.3763608 4.1850104 7.0462788 8.8862648
## 96 13.7372385 7.2049531 5.2152492 3.4804497 6.2517254 8.4646178
## 97 14.1332063 7.6596666 5.7946664 4.7176760 6.9221201 8.9327248
## 98 14.3222798 7.8331842 5.9895959 4.5636941 7.1664835 9.1627855
## 99 13.6672875 7.4848932 5.7313039 4.0796973 6.5148012 8.6056109
## 100 14.2184297 8.2553196 5.9903512 5.0034492 7.7524382 9.3463410
## 101 13.7754770 7.0474653 4.7743541 3.4822098 5.9426958 8.2355763
## 102 14.0576096 8.0719836 5.1329879 4.6785062 7.3668096 9.2474613
## 103 14.1360448 7.9849971 5.9216198 4.3412792 6.9871428 8.9703134
## 104 14.0282590 7.3085749 5.8397836 4.0339230 6.6195135 8.6528355
## 105 13.9879888 7.8951849 5.4378717 4.5730702 7.1512725 9.0819279
## 106 13.6029828 7.4032613 5.6208557 4.0546076 6.4659129 8.5402691
## 107 14.1345378 7.7860899 4.7919360 4.2067425 7.0242982 8.9816244
## 108 14.1821094 8.2886055 5.6309723 4.8840102 7.4162799 9.3293029
## 109 14.1256776 7.3060005 5.5406047 3.6175061 6.3267154 8.5727280
## 110 14.2013916 8.0345071 5.5632560 4.8754639 7.2289592 9.2407880
## 111 14.0170810 8.1204841 5.7032640 4.6951801 7.3127877 9.2610336
## 112 14.3621817 7.9914987 5.1354574 4.3573650 7.0672404 9.2126371
## 113 14.2036652 7.0056201 5.9538427 4.0036526 6.5778579 8.4436238
## 114 13.6794580 7.3428414 5.3465524 3.8887264 6.6687883 8.5532526
## 115 13.7918429 7.7244746 6.1207240 4.2810181 7.1222002 9.0444820
## 116 13.9312269 7.9014148 6.0488587 4.5363271 7.0421341 9.1763134
## 117 13.9393673 7.9568258 6.4436505 4.6204215 7.2574077 9.2358390
## 118 14.2516102 8.3556037 5.6358272 5.0553203 7.7619119 9.5676273
## 119 14.1052946 7.1081788 5.4282323 3.6493680 5.9150701 8.4032353
## 120 13.9568982 7.5928204 5.0141581 3.7595203 6.4560657 8.6675616
## 121 14.3236280 8.0865482 5.9076310 4.5227766 7.3967379 9.2243266
## 122 14.1193367 8.0413949 5.2278029 4.6858362 7.2012207 9.1450905
## 123 14.4528988 8.3447279 5.7813807 4.7281143 7.5162607 9.5844304
## 124 13.8526166 7.2815168 6.0469181 4.1660806 6.5755933 8.7216753
## 125 14.0439619 7.2110421 5.3753402 3.8363121 6.1467523 8.3651926
## 126 14.3634198 7.6398056 5.4714880 4.0715333 6.6255046 8.9960737
## 127 14.3998062 8.4129384 5.0882749 4.9004921 7.4441766 9.3181180
## 128 14.0659711 7.7838929 5.6102484 4.7174630 7.3192357 9.1403526
## 129 14.0424603 6.8626923 5.1461039 3.3459614 5.9483182 8.1503042
## 130 14.2554643 7.4799761 4.9926495 3.8355357 6.7082000 8.7183715
## 131 14.1463801 8.3062083 6.3655388 5.2132345 7.9223512 9.5638338
## 132 14.1865275 7.8339597 5.3878479 4.2574427 6.8671942 9.0351062
## 133 13.9989389 7.2206575 5.3501809 3.8526867 6.1392037 8.3469681
## 134 14.4366683 8.1505184 4.8074984 4.7755063 7.3215743 9.1476349
## 135 14.0872635 7.4753570 4.9028691 3.7677793 6.7205979 8.8242736
## 136 14.6052161 8.2212517 5.8823182 4.7326276 7.3497062 9.4347968
## 137 13.7592768 7.5811871 5.4184752 3.6926211 6.5999019 8.8089772
## 138 14.3617348 8.2713442 5.2356407 4.6880582 7.5293201 9.3859405
## 139 14.1931263 7.8235016 5.5190191 3.9995519 6.7016274 8.9045138
## 140 14.3167699 8.7657985 5.3384626 5.1423258 7.9544647 9.8899385
## 141 13.7693043 7.9962952 5.3923066 4.4470057 6.9929898 8.9763200
## 142 13.8643169 7.0812940 5.8467945 3.6399055 5.9861220 8.3585249
## 143 14.0311419 7.9379869 5.5508300 4.1645526 6.9134171 9.0915395
## 144 14.3882012 8.3214834 5.0380550 4.9063042 7.6143257 9.3891760
## 145 14.4663028 8.5426398 6.6313838 5.4019286 7.7783673 9.7100319
## 146 14.4343025 7.8719548 4.8864827 4.1681911 6.9258683 9.0939770
## 147 14.0660707 8.2062804 5.5185505 4.9034951 7.5028086 9.2919620
## 148 14.2223889 8.0745662 5.5376405 4.4673709 7.0527428 9.1857356
## 149 14.3306809 8.4451914 5.4595011 4.9324033 7.6467262 9.5967662
## 150 13.8298121 7.4843977 4.9427125 3.8872639 6.6257114 8.5226649
## 151 13.9641139 7.7584604 5.4813659 4.4631423 6.9235453 8.8925088
## 152 13.4265803 6.6023591 5.3012490 3.0980217 5.5704449 7.8501717
## 153 13.7299749 7.5929807 5.5474456 4.0854744 6.7214546 8.6698751
## 154 14.6790673 8.4770073 5.5113347 5.0923531 7.8275728 9.6508347
## 155 14.2005983 8.1512882 6.3074844 4.9498413 7.4054285 9.3673317
## 156 14.0174850 8.0588669 5.8917194 5.1665243 7.4532109 9.1689961
## 157 14.5053157 8.5161598 5.2949588 4.8804214 7.3422595 9.4477506
## 25 26 27 28 29 30
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 21
## 22
## 23
## 24
## 25
## 26 4.2518223
## 27 4.9771185 4.7977313
## 28 4.0573994 4.5360127 4.4516837
## 29 3.8651912 4.7210113 4.3627139 5.4101131
## 30 5.6657475 6.3846144 2.6267964 4.2524196 5.5612222
## 31 5.8563116 4.9149429 4.6771670 6.0438869 4.5010148 5.9396943
## 32 6.4749670 6.1659610 6.2537009 3.7467769 6.3916686 5.7119189
## 33 5.7420857 5.6775247 5.6608904 6.0614338 3.6648820 6.5611718
## 34 5.2417561 5.8885813 5.3640157 5.8502181 3.8074503 6.0382549
## 35 3.3923780 4.8512022 4.0931753 5.0649530 1.3222996 5.0255057
## 36 6.7261631 7.2159148 6.9581139 7.1363167 4.6892796 7.4323747
## 37 3.5735294 4.5339681 4.4230047 4.9871505 1.9462364 5.6302638
## 38 7.0173821 5.4558719 6.0392699 6.4368896 5.6496357 6.8153145
## 39 4.7903121 3.2880516 4.1611432 5.2622912 2.9065688 5.7004799
## 40 6.9338051 6.3422417 6.7440095 7.7779419 6.0877612 7.9459642
## 41 5.7316071 6.9385017 6.6059598 6.4721589 4.1188705 7.0362511
## 42 9.1081610 7.9389708 8.1784151 9.4317800 7.2562765 9.3346148
## 43 3.1175509 5.9227436 5.7793984 4.3006347 5.6953913 5.7820583
## 44 4.5819243 8.0212980 6.9686879 5.5335517 7.0823758 6.1806522
## 45 3.3323087 6.7578152 6.4958246 4.8217065 6.0637979 6.1631228
## 46 3.3651055 6.2261010 6.5219197 5.6156635 5.9203222 6.7862226
## 47 2.8567353 5.7141150 5.9417757 4.6920233 5.6814954 6.1031339
## 48 4.1134255 7.3389288 6.5614695 5.2832009 6.4755987 6.0483745
## 49 3.1018384 6.1616917 6.4005553 4.3564517 5.5721410 6.2742836
## 50 3.5485967 6.1448760 5.4199852 4.7963628 5.7536305 5.2980902
## 51 3.2978074 6.2535497 5.5483180 4.7948075 5.4947421 5.4858339
## 52 3.6568854 6.6710413 5.9735199 5.9514036 5.7615247 6.2116821
## 53 3.8378124 7.0369246 5.7786911 4.8009123 5.6392149 5.2591105
## 54 3.1916041 6.3353713 6.0808891 5.5396892 5.3135018 6.3404397
## 55 3.0622673 5.8206735 5.8502052 5.1819310 5.2979496 6.1618611
## 56 3.2007549 6.0711208 5.7474325 4.8820156 5.4121401 5.6884054
## 57 3.2585669 6.5725051 6.0707382 5.6434428 5.3215810 6.2994022
## 58 3.5945391 6.7532160 6.3024167 4.7098769 5.6764715 5.8217721
## 59 2.8223427 5.4621714 5.5109669 4.9631358 4.8138492 5.9791429
## 60 3.0809481 6.4759664 6.3004822 4.5273277 5.6630671 6.0772614
## 61 3.8363774 7.2442584 6.2608045 5.4356893 6.2361726 6.0149368
## 62 3.7416419 7.1159850 5.9235042 5.0509116 6.0122765 5.6741634
## 63 3.3295682 6.5567375 5.6913742 4.4051092 5.8238632 5.4671430
## 64 2.9595250 5.9594414 6.3057980 5.4468105 5.4929536 6.7252310
## 65 3.1054773 6.3041101 6.2187943 5.7296399 5.2225952 6.5977419
## 66 3.0454916 6.2234418 6.3397357 5.3770368 5.7820366 6.5147242
## 67 3.7147130 6.5469807 6.0560857 5.0149885 5.7135425 5.7126495
## 68 4.1183046 7.5107025 6.5392675 5.9276930 6.4489816 6.3468054
## 69 3.5228180 6.7479067 6.7105528 5.0261608 5.8713253 6.4069888
## 70 3.8606319 6.7320545 5.3858554 5.5282923 5.6827811 5.5217338
## 71 4.1775834 7.6019002 6.9311220 5.9871297 6.7520608 6.5741110
## 72 3.4572664 6.0654725 6.4738140 5.9487070 5.6677915 6.9059271
## 73 3.6503464 6.3277128 6.6933797 5.2135791 5.8174895 6.5665678
## 74 3.5007427 6.7453892 6.0993828 5.3626526 5.7188145 5.9573249
## 75 3.1039077 6.3191811 6.1604997 5.0707577 5.6329069 6.1830146
## 76 3.9884660 6.8804326 5.9950366 5.0519643 6.2594949 5.4820623
## 77 3.7215355 6.8170166 6.1423192 5.6625256 5.7272254 6.0716391
## 78 3.3090278 5.9710771 5.2217874 4.6548119 5.4938498 5.1855147
## 79 3.7522302 6.6525154 7.1230863 5.1591514 5.7195855 6.8586802
## 80 3.4345498 6.9706730 6.5954719 5.2878099 6.0331317 6.4236574
## 81 3.0457781 6.0873907 5.5729122 4.9444022 5.5114151 5.8788849
## 82 3.4195974 6.2711241 5.6974946 4.8493271 5.5451232 5.5934345
## 83 3.6608902 6.9185172 6.7330737 6.2432243 5.7390518 6.8640684
## 84 3.3474669 6.7360338 6.1049065 4.9716909 5.1615151 6.0117285
## 85 2.9634303 5.9725809 5.9297902 5.0025951 5.8275263 6.0882561
## 86 3.2899264 6.0121464 5.4863653 4.1492738 5.3845363 5.1866962
## 87 3.2442915 6.6796372 6.6728341 5.1973766 5.6657319 6.6042408
## 88 3.4492208 6.6239166 6.6429431 5.4762488 5.8204691 6.5307687
## 89 3.2077044 6.5302977 6.0417841 4.4575145 5.6453179 5.7637847
## 90 2.7151058 5.5268235 5.6940023 4.6716618 4.9617701 5.9082342
## 91 3.4019817 6.5419076 7.0660819 5.7763094 6.2006564 7.1783143
## 92 4.0367935 7.0465096 6.7597262 5.2165992 5.9868874 6.2230549
## 93 2.9985835 5.9151991 6.2346105 4.6909396 5.1955189 6.2243853
## 94 3.0145418 6.4951232 6.2560093 4.8939925 5.6170012 6.2043225
## 95 3.7797221 6.6595164 6.6081298 5.8265405 5.8952069 6.5635826
## 96 3.1357859 6.1783075 5.7512027 4.8378371 5.3162392 5.7255059
## 97 4.1331993 7.3662817 6.3046482 4.7056252 6.2968753 5.5887148
## 98 3.6285152 7.0955180 6.2962884 5.1081241 6.2349404 5.9940435
## 99 2.8346331 6.3690418 6.6324255 5.1277037 5.3449424 6.7368634
## 100 4.4697416 7.7930464 6.5476777 6.4325775 6.4543938 6.3448495
## 101 3.2469906 5.8314818 6.0385753 4.5920959 5.3372912 5.8932202
## 102 3.7318932 6.9384997 6.6503425 5.5151272 6.3629559 6.3902756
## 103 3.5695013 6.9834980 7.0693990 6.1739042 5.5499806 7.2526228
## 104 3.6896180 6.5146889 5.3205586 5.1551118 5.7834088 5.3107163
## 105 3.6904708 6.9842524 6.1474689 5.3300869 6.1383235 5.9664775
## 106 2.9913479 6.4095828 6.7040556 5.0369196 5.3059245 6.7643316
## 107 3.8425038 6.7371696 6.2291201 5.5607963 6.0680723 6.0075100
## 108 3.7365199 6.9192036 6.5415091 5.8970155 6.3639543 6.5759845
## 109 3.2354384 6.4377824 6.4751419 5.0838313 5.2448886 6.4849501
## 110 4.2212052 7.0924336 5.8811041 5.2898497 6.4981329 5.6110788
## 111 3.6520020 7.0980226 6.7357502 5.5420579 6.2456388 6.5367283
## 112 4.1229698 7.3165256 6.2508766 5.5886035 6.0522926 5.9061731
## 113 3.8137440 6.5592436 5.5096277 4.7033775 5.9546946 5.2040247
## 114 3.4391058 6.6526042 5.9002927 5.2736372 5.5738096 5.7424034
## 115 3.7694297 7.2779975 6.4911279 5.7287350 5.8071080 6.2880677
## 116 3.6063905 7.1169820 6.2188652 5.2182847 6.0233439 6.0261906
## 117 4.1195147 7.4972891 6.2348854 5.7823185 6.1572749 5.9330309
## 118 4.1512575 7.5410781 6.8315212 5.7792439 6.7384645 6.3893512
## 119 2.7381859 5.3693549 6.0988201 4.0257281 5.4387300 6.2378886
## 120 3.2581772 6.2675317 5.8265879 5.5129626 5.2742758 6.1321923
## 121 3.7782422 6.9630034 7.5481044 6.3041065 6.0298617 7.6107290
## 122 3.7466429 6.7179987 6.1306907 5.6187413 6.2275932 6.1878380
## 123 4.2470933 7.2897070 6.2378312 6.1056435 6.4424851 6.1475375
## 124 3.4278522 6.5327963 5.7734244 4.2376443 5.9565239 5.4368295
## 125 2.6565435 5.2990894 6.4803106 4.6656191 5.4424559 6.7757852
## 126 3.1294231 6.0408470 6.4120627 4.5503425 6.0110181 6.3263452
## 127 3.7308751 6.7895261 7.4215842 6.0962678 6.3367541 7.4679580
## 128 4.0235580 7.2713036 6.3399484 5.0292804 6.5039104 5.7229295
## 129 3.0883211 5.6625387 6.4099908 4.6555255 5.1790691 6.4640094
## 130 3.3976259 6.0527776 6.6370192 5.2753528 5.8086432 6.6331487
## 131 4.1829171 7.7185047 6.9416316 5.9613388 6.7978599 6.5318691
## 132 3.9263430 6.8750478 7.2246475 5.4328030 5.9740480 6.9006220
## 133 2.7159748 5.8735248 6.3321051 4.5299352 5.3704054 6.3861296
## 134 3.9136910 6.7669266 7.5305010 5.8564290 6.2460064 7.5200814
## 135 3.4685937 6.1805666 6.6557666 5.1648363 5.8145197 6.5308401
## 136 3.6560954 7.0523854 7.2036354 5.4298573 6.4270042 6.9403747
## 137 3.0917879 6.3113895 6.5473202 5.4953619 5.3218684 6.6928135
## 138 3.4575624 6.5944493 7.0796293 6.0178221 6.3109185 7.2362747
## 139 3.2557622 6.3654062 6.5603380 5.6753746 5.5820169 6.7391204
## 140 4.1023407 7.1886401 7.1157970 6.2535552 6.8386635 7.0266851
## 141 3.1243126 6.1200008 7.3099549 5.9719225 5.6611662 7.6963646
## 142 3.4214467 6.4597987 6.2942346 4.5089991 5.2823357 6.0339147
## 143 3.5608194 6.8137928 6.9765473 5.6624005 5.8077025 6.8375626
## 144 3.9374751 7.2191844 6.8817258 5.9876566 6.4484752 6.7563130
## 145 4.4298573 7.5669114 6.4078544 5.9948272 6.9068008 6.2326436
## 146 3.9331007 6.8918784 6.4392585 5.3017845 6.0841644 6.0914857
## 147 3.8246211 7.1551581 6.8611992 5.7552856 6.4760947 6.5846872
## 148 3.1943678 6.3008231 6.5368156 5.5521858 6.0531076 6.7389528
## 149 3.9995453 7.3236043 6.6236393 5.8830553 6.5275003 6.4740227
## 150 3.3941899 6.7404718 6.5697918 5.5444096 5.3337414 6.4915934
## 151 3.3854011 6.6854800 6.4297039 5.2442226 5.9706928 6.2824294
## 152 2.7692288 5.6061033 5.4865898 4.2952304 4.8529375 5.5173875
## 153 3.5212471 7.0137981 6.7800537 5.6418907 5.4306798 6.6190813
## 154 4.1166841 7.3714042 7.0169697 5.8540333 6.8572508 6.6712700
## 155 4.5626248 7.5307467 5.9234101 5.9274224 6.5393563 5.6234925
## 156 4.3476359 7.2768024 6.1562758 5.6591989 6.6528013 5.8430517
## 157 3.7133011 7.0036669 7.1908523 5.9344697 6.2978940 7.1489025
## 31 32 33 34 35 36
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 21
## 22
## 23
## 24
## 25
## 26
## 27
## 28
## 29
## 30
## 31
## 32 7.5345735
## 33 3.1790034 6.7503183
## 34 2.9851114 6.9656648 2.3973574
## 35 4.3264723 6.4716710 4.0429368 3.5185557
## 36 7.0002589 6.4599845 5.7042825 5.4127085 4.7796228
## 37 4.0209484 6.5586173 3.1605971 3.7538288 2.3939663 6.1600676
## 38 3.1490824 6.6383573 4.1673358 3.8548437 5.5372427 6.0255780
## 39 3.1191070 5.9413185 3.6060194 3.7124585 3.1770756 5.0721197
## 40 2.7217590 9.5261731 4.3719838 3.7992104 5.9133482 8.5974085
## 41 6.9969649 6.5670884 5.9264163 5.3536790 3.8765380 2.3447514
## 42 4.6845906 10.5941098 5.2195023 5.6969231 7.4708479 9.2225810
## 43 7.1372499 6.8109841 7.3342952 6.2287627 4.7774005 7.1776079
## 44 8.3772269 8.0683123 8.5360900 7.3401432 6.0468847 8.8074410
## 45 7.5626179 7.4976710 7.6599868 6.6826422 5.0980679 8.0512891
## 46 7.3948019 8.0290234 7.4889992 6.7557439 5.0842632 7.6112474
## 47 6.9147384 7.4415972 7.2681325 6.3790589 4.7514984 7.5286121
## 48 7.8662233 7.6995878 7.8581319 6.9375997 5.5003614 7.8551645
## 49 7.5786574 6.6608011 7.2704703 6.7083006 4.8401668 7.3347749
## 50 6.8149609 7.4174018 7.3548291 6.3705774 4.6954294 7.4865240
## 51 6.9926174 7.4147317 7.2940306 6.4248504 4.4867777 7.4509509
## 52 7.0536723 8.5635726 7.5534381 6.3378417 4.6848958 7.7399763
## 53 7.2232942 7.2487692 7.2474516 6.2371465 4.5856105 7.2869342
## 54 6.9671459 7.9829589 7.2180742 6.1720588 4.3039407 7.3019592
## 55 6.8748108 7.5780894 7.1970116 6.3270494 4.3478489 7.1525838
## 56 6.7645559 7.3059833 7.1176247 6.0109253 4.3364097 7.1187323
## 57 7.1383508 8.1723062 7.3845394 6.2410336 4.2784955 7.3246452
## 58 7.4545743 7.0685662 7.4353967 6.6380344 4.7241799 7.6274500
## 59 6.5119662 7.4335306 6.6995710 5.9645028 3.9239748 6.8434583
## 60 7.3909230 7.0904021 7.3032282 6.4350152 4.7528840 7.4593592
## 61 7.6718345 8.0749721 7.7831270 6.6242739 5.2215771 7.9101246
## 62 7.3705710 7.8830545 7.4531867 6.3890917 5.0225084 7.9121496
## 63 7.2738149 7.3367135 7.4068380 6.4194264 4.8826016 7.8767861
## 64 7.1582727 7.9152524 7.1943291 6.3984708 4.6677989 7.2804185
## 65 7.0549531 8.1676868 7.2623365 6.2301486 4.2543423 7.3492818
## 66 7.1456869 7.9659945 7.4570808 6.2644035 4.7777907 7.4883353
## 67 7.1297718 7.3027233 7.2135651 6.4503326 4.7285008 7.3202398
## 68 7.9205981 8.4300010 8.0421260 6.8099306 5.4194331 7.8618994
## 69 7.5459105 7.2997328 7.2599403 6.5827819 5.0105599 7.4440832
## 70 6.7591825 8.2527970 7.3317317 5.9742511 4.5559890 7.4804589
## 71 8.0353039 8.4722895 8.2423898 7.0780033 5.6973510 8.2778505
## 72 7.2362719 8.2938194 7.5510670 6.8627578 4.8190257 7.6985700
## 73 7.6022847 7.3445717 7.5739480 7.1216271 5.0377750 7.8209411
## 74 7.2742564 7.8782259 7.5122284 6.4962302 4.6746114 7.7344455
## 75 7.1132848 7.6634898 7.1328124 6.2714777 4.6989163 7.3868042
## 76 7.4287071 7.4999224 7.9391600 6.6417742 5.1344538 7.8468429
## 77 7.2856055 8.0282728 7.4576831 6.4458677 4.6904113 7.3964017
## 78 6.4679904 7.4359106 7.1054510 5.9321062 4.3815360 7.4333994
## 79 7.7628242 7.0070535 7.5889334 6.9158450 4.9085039 7.3701399
## 80 7.6766673 7.8922987 7.6624316 6.7245582 5.1005799 8.0429014
## 81 6.7987007 7.8322266 7.1511080 6.0033691 4.5272900 7.3829514
## 82 7.0454226 7.2117143 7.3111218 6.2487559 4.5230517 7.1999568
## 83 7.4836662 8.5600259 7.6371145 6.6409339 4.7327456 7.5239029
## 84 7.3583766 7.3719608 7.1773038 6.3844300 4.2590703 7.2325319
## 85 6.9574475 7.8995680 7.4361558 6.3758426 4.8348047 7.8701545
## 86 6.9101977 6.6779292 7.0642708 6.3106554 4.4345834 7.2637478
## 87 7.6367089 7.5875157 7.3277162 6.6904381 4.8527256 7.5078023
## 88 7.5553781 7.7063863 7.7797851 6.7126058 4.8147094 7.6425092
## 89 7.2636168 7.0611742 7.1956968 6.1925765 4.6952856 7.3528962
## 90 6.4668660 7.2193409 6.7451856 5.9287694 4.0001013 7.1326004
## 91 7.7928739 8.0421707 7.9791073 6.9773043 5.2833015 7.7236269
## 92 7.6592174 7.2694793 7.5025936 6.8581998 5.0782316 7.6429453
## 93 6.9985322 7.0018730 7.0709912 6.3600015 4.3031462 7.2068198
## 94 7.3294658 7.4643261 7.3219001 6.2530652 4.6654915 7.4447109
## 95 7.2860920 8.1388430 7.5091711 6.7507625 4.9197833 7.6256520
## 96 6.9398941 7.3148779 7.1205457 6.2108420 4.3222602 7.2941352
## 97 7.8288861 7.2015960 7.6225390 6.8192491 5.3832885 7.8471393
## 98 7.6544203 7.9207989 7.8110379 6.8243477 5.2494879 8.2546239
## 99 7.3775253 7.6560277 7.1540881 6.4030299 4.5240011 7.4407931
## 100 7.6951054 8.9716415 8.0881750 6.7665913 5.3237112 8.2357410
## 101 6.9760629 6.7194129 7.0733960 6.3035282 4.4036981 6.7976647
## 102 7.6822843 8.0732882 7.8401028 6.9299690 5.3821303 8.0520629
## 103 7.6851981 8.3736333 7.6286892 6.7047959 4.6553476 7.5751462
## 104 6.8078731 8.0042875 7.4752282 6.2516313 4.6628931 7.7530968
## 105 7.4589424 8.0692389 7.5782160 6.6403386 5.1605496 7.9814166
## 106 7.4294603 7.4879557 7.0214705 6.4711952 4.5770708 7.4666288
## 107 7.3283139 7.9713169 7.7135519 6.7338199 5.0017193 7.6834886
## 108 7.5935682 8.4806730 7.9560409 6.7744826 5.3319134 7.9361897
## 109 7.3535607 7.4199412 7.2134180 6.6231466 4.4292840 7.5208354
## 110 7.5049763 8.0208992 7.7563972 6.8326824 5.5372795 8.1318495
## 111 7.8485960 7.9897541 7.8561449 6.8610278 5.2936261 7.9855948
## 112 7.6826519 8.0455494 7.7162269 6.9764806 5.0850974 7.9073629
## 113 6.9397887 7.3441246 7.5152693 6.2823094 4.8612486 7.7634768
## 114 6.9984769 7.8386866 7.3036343 6.1540368 4.4573169 7.4551471
## 115 7.6041172 8.3586757 7.7204068 6.7072402 4.7934501 8.1321493
## 116 7.7006825 7.9798302 7.6715514 6.7567372 5.0966615 8.0687661
## 117 7.6787638 8.3996321 7.9886643 6.7161404 5.0630691 8.1597796
## 118 8.0839362 8.3012359 8.2332975 7.1809270 5.7162095 8.3747313
## 119 7.0609925 6.5385231 7.0557978 6.5244132 4.7190628 7.3657752
## 120 6.8531033 8.0914778 7.1066082 6.2630195 4.2961495 7.3282140
## 121 7.9382108 8.4676892 8.0570955 7.1856180 5.1491971 8.1267066
## 122 7.3378486 8.3234296 7.6744687 6.6890893 5.2404041 7.8780066
## 123 7.6407194 8.7771527 8.1937523 7.0869880 5.3694968 8.3904984
## 124 7.3261876 7.0626130 7.4311749 6.5028679 5.0374249 7.9313976
## 125 7.0259341 7.0382860 7.1391854 6.4525840 4.6762936 7.2386666
## 126 7.5450817 7.0670500 7.6787726 6.9854952 5.1791034 7.8893458
## 127 7.9262319 8.2095698 7.9495561 7.1177032 5.4659086 7.7530982
## 128 7.7572910 7.6963204 7.8565326 6.9081755 5.5071631 8.2389566
## 129 6.9869964 6.8448013 7.0074475 6.4712715 4.3916568 7.1954902
## 130 7.2518070 7.4708125 7.5767190 6.7743564 4.8853102 7.6532467
## 131 8.1105166 8.5997259 8.3839765 7.0929005 5.7231541 8.5987233
## 132 7.9992666 7.2975295 7.7937015 7.2114118 5.1746555 7.7158731
## 133 7.1150263 6.9819504 7.0354407 6.2923055 4.5284189 7.1203110
## 134 7.9655355 7.8891802 7.6889644 7.2934287 5.5463314 7.9142409
## 135 7.4261850 7.3932452 7.5999452 6.9632566 4.9420295 7.7913808
## 136 8.1482435 7.7385154 8.1436701 7.2904228 5.5387161 8.2312670
## 137 7.3174690 7.9143523 7.3740714 6.6403010 4.4399061 7.6430537
## 138 7.6923773 8.5420567 7.9916473 7.1098524 5.3893822 8.2140926
## 139 7.3235049 7.9891172 7.6019371 6.6094313 4.6033048 7.4808371
## 140 8.1162059 8.7067188 8.4138559 7.4570285 5.8776054 8.5202787
## 141 7.5605414 8.2839736 7.4728220 6.8700080 4.9480558 7.6939730
## 142 7.4039318 6.6107293 7.1484944 6.4522819 4.4628076 7.1819397
## 143 7.8196065 7.7601305 7.8127046 6.9435704 4.8843111 7.6321529
## 144 7.8287673 8.4881777 7.9285563 7.0611086 5.4892428 8.1028325
## 145 7.9394993 8.6958894 8.4400328 7.0705665 5.8426126 8.5233782
## 146 7.6399771 7.5164876 7.7263844 7.0005133 5.1422640 7.7779899
## 147 7.8418590 8.1719575 8.0317212 6.8767942 5.4349732 7.9285047
## 148 7.4379928 8.1422765 7.7867488 6.7839127 5.1039166 7.8566675
## 149 7.8817746 8.5194193 8.0286750 7.1235784 5.5682657 8.3758063
## 150 7.2652618 7.8009897 7.1378548 6.3410199 4.3713187 7.2063987
## 151 7.4298128 7.8503756 7.5604443 6.5583031 4.9793429 7.6471252
## 152 6.5171729 6.7519618 6.6983382 5.7202326 3.8369745 6.6619835
## 153 7.5719181 7.8416111 7.3790417 6.4801656 4.4709416 7.2929031
## 154 8.0718926 8.3230531 8.3543943 7.3184477 5.8390132 8.4655693
## 155 7.6074944 8.5237751 8.1677562 6.8002602 5.4103658 8.1539276
## 156 7.5117310 8.3223064 7.9368365 6.6534414 5.5762272 8.0208260
## 157 8.0138723 8.1394644 7.9790374 7.1247210 5.4015224 7.7399272
## 37 38 39 40 41 42
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
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## 11
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## 27
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## 33
## 34
## 35
## 36
## 37
## 38 5.8262432
## 39 3.4314597 3.3750291
## 40 5.4265966 4.7106303 5.0929165
## 41 5.5503963 6.7098619 5.2623683 8.5664711
## 42 6.8664689 5.9436766 6.4374023 3.8394554 9.6328471
## 43 5.7322865 7.8454710 6.3768902 8.3242324 5.7316641 10.8483828
## 44 6.8942939 9.4206593 8.2100739 9.3621830 7.2804542 11.8288605
## 45 5.8588330 8.6302015 7.1700012 8.5828532 6.4878406 10.9180226
## 46 5.8643936 8.3632255 6.7545669 8.5008765 6.2408190 10.9287874
## 47 5.5349423 7.8536872 6.3462193 8.0475357 6.1705363 10.4875781
## 48 6.3496254 8.7413902 7.5046869 9.0839615 6.4737514 11.4295444
## 49 5.4454104 8.4131973 6.7207202 8.8873996 5.7514014 11.0175037
## 50 5.7499045 7.7906367 6.4079712 8.1834623 6.1332240 10.5960417
## 51 5.4514519 8.1102773 6.4976493 8.3552164 5.9257543 10.6785967
## 52 5.8503951 8.3337678 6.7487632 7.9939185 6.2386049 10.5694375
## 53 5.6341300 8.2688523 6.8936174 8.5423005 5.7182939 10.7202947
## 54 5.4238477 8.1286973 6.4201420 8.0270638 5.6895951 10.4591087
## 55 5.4038383 7.8539238 6.1311065 8.1520452 5.6484967 10.5786270
## 56 5.5391918 7.6596346 6.2146245 7.9718966 5.6361965 10.4158792
## 57 5.4513827 8.3352859 6.5905239 8.1367399 5.6597827 10.5617892
## 58 5.5819871 8.4335778 6.9250708 8.7500108 5.9980331 10.8879981
## 59 4.8793875 7.6025210 5.7695681 7.8049971 5.3328888 10.0986501
## 60 5.5048566 8.3320659 6.8145311 8.5448565 5.8912070 10.8094658
## 61 6.1521439 8.7999133 7.3853480 8.6728099 6.4050865 11.1534513
## 62 5.7984572 8.6750467 7.2426082 8.4016660 6.4002180 10.7047644
## 63 5.5908293 8.4960707 6.9517886 8.3834513 6.3289623 10.6820866
## 64 5.4830751 8.1803836 6.4433645 8.1967340 5.8276025 10.6103121
## 65 5.3461109 8.2677907 6.4339407 8.0302542 5.6770093 10.4823744
## 66 5.8206530 8.0877270 6.5986788 8.0088765 6.0481835 10.5811920
## 67 5.7053176 8.0242387 6.6675384 8.5091644 5.9085044 10.7217852
## 68 6.5065602 8.9659936 7.5715391 8.8798473 6.3958815 11.3681688
## 69 5.7472050 8.4239287 7.0193709 8.7232597 5.9803402 10.8540879
## 70 5.7790138 8.0369658 6.6131617 7.7778766 6.0499236 10.2389098
## 71 6.6880006 9.0310816 7.7630784 8.9971485 6.8460267 11.5609750
## 72 5.7070706 8.3323088 6.5291335 8.3997030 6.2395215 10.7836955
## 73 5.7008090 8.5134218 6.8452148 8.9758889 6.2987741 11.1419343
## 74 5.7132202 8.4596689 6.8793973 8.4098099 6.1285747 10.8078601
## 75 5.5396113 8.1698203 6.6581971 8.1926476 5.9466459 10.4964670
## 76 6.3571520 8.2692901 7.0211732 8.6084227 6.3867829 11.1358895
## 77 5.8687893 8.3626790 6.8347432 8.4430066 5.8797476 10.7742259
## 78 5.4715503 7.5524095 6.1747505 7.6651736 6.0354605 10.1412217
## 79 5.7765349 8.3979968 6.8588839 9.0253254 5.7605928 11.0846022
## 80 5.8548101 8.8690498 7.2939081 8.6612890 6.4340367 11.0110648
## 81 5.4513434 7.9780226 6.4103635 7.7640100 5.9574921 10.1844094
## 82 5.6960675 7.9531545 6.4280893 8.3321869 5.6668017 10.7431892
## 83 5.8658123 8.5614110 6.9386522 8.4805132 5.9640699 10.9198799
## 84 5.1385473 8.5311023 6.7437004 8.6067756 5.4477997 10.6903047
## 85 5.6766761 8.0945208 6.5770852 7.8981478 6.4692209 10.4175029
## 86 5.3166522 7.8482742 6.3259188 8.3755487 5.7622280 10.5722209
## 87 5.4986735 8.6759054 7.0149508 8.7790046 5.9212883 10.9720733
## 88 5.9375895 8.4278832 6.8464097 8.6469871 6.0096979 11.1452926
## 89 5.5744423 8.2428947 6.7818320 8.3698915 5.8006290 10.5968975
## 90 4.9314625 7.5529961 5.8679299 7.6957297 5.6006970 9.9813352
## 91 6.2681331 8.5389597 7.0062277 8.7778108 6.2669280 11.3392814
## 92 5.9213347 8.5137386 7.1506793 9.0031782 6.1343956 11.0927614
## 93 5.1521059 7.8853293 6.2311924 8.2931840 5.6168431 10.4942955
## 94 5.5660720 8.3555494 6.7787079 8.3203541 5.8347539 10.7271854
## 95 5.8742123 8.2534971 6.8239067 8.4948074 6.2436020 10.7949170
## 96 5.3308856 8.0197203 6.3808050 8.2089340 5.6994565 10.5588421
## 97 6.0855245 8.8172906 7.5242609 9.1094212 6.3845550 11.2200927
## 98 5.9606300 8.8901672 7.4138440 8.7121678 6.7101955 11.1143252
## 99 5.1904902 8.4957260 6.7417548 8.3381111 5.7920047 10.4961023
## 100 6.5073779 8.9902549 7.6269835 8.5853274 6.7221863 11.0952811
## 101 5.4896804 7.5765802 6.1086495 8.3897429 5.3636377 10.5826694
## 102 6.2151866 8.6693911 7.3176793 8.7466310 6.6651472 11.1650237
## 103 5.6750759 8.8207525 7.0073953 8.6173514 5.8187193 10.8913669
## 104 5.7596421 8.0624556 6.6283169 7.9384204 6.3276479 10.3904509
## 105 5.9382872 8.6884779 7.2478701 8.5343180 6.5363919 10.9069226
## 106 5.0702293 8.5776098 6.7985941 8.4604855 5.8115434 10.4715295
## 107 6.1234587 8.2629262 6.9048883 8.5620013 6.2993067 10.9600431
## 108 6.3761557 8.6025292 7.2044757 8.5155645 6.5542978 11.1228470
## 109 5.1148580 8.5080750 6.6809890 8.5907115 5.7959722 10.6585749
## 110 6.2952177 8.6593616 7.3700185 8.7125749 6.8360861 11.0988184
## 111 6.1754300 8.8980045 7.3924707 8.8586433 6.4310178 11.3060962
## 112 5.9418506 8.9004962 7.3681382 9.0114448 6.3764948 11.1847653
## 113 5.9553054 7.9838955 6.6810349 8.1663030 6.3117885 10.6119500
## 114 5.6146250 8.1274776 6.6672914 8.0911833 5.9101608 10.5015411
## 115 5.6821194 8.9920503 7.3347490 8.5500226 6.4204813 10.8079669
## 116 5.8113723 9.0256417 7.3987543 8.7482420 6.4618082 11.0230900
## 117 6.1487760 8.9653218 7.4613186 8.6489615 6.5220490 11.1112166
## 118 6.6400395 9.1348979 7.8048261 9.1063169 6.9189137 11.5539741
## 119 5.2095381 7.8679383 6.1919043 8.3993419 5.9150456 10.6404883
## 120 5.2518496 8.1111081 6.3952830 8.0396887 5.8123290 10.3841477
## 121 6.0610669 8.9347863 7.2358300 8.8274648 6.4722481 11.1513730
## 122 6.1481428 8.4633916 7.0558229 8.3942899 6.5693911 10.8206249
## 123 6.3804646 8.9081939 7.4345807 8.7225624 6.9348466 11.2755925
## 124 5.7023106 8.4473891 6.9754091 8.5165272 6.4102765 10.8632136
## 125 5.3787569 7.7349605 6.0835902 8.1647777 5.8305450 10.4526707
## 126 5.8136038 8.3945071 6.8075479 8.8183261 6.4202833 11.1923018
## 127 6.3763386 8.6393196 7.1876864 8.9297693 6.3649369 11.3702230
## 128 6.2850727 8.8378965 7.5641996 8.9014424 6.8065378 11.2078806
## 129 5.1178150 7.7858422 6.1133465 8.3158637 5.6668447 10.3832399
## 130 5.8148827 8.0125868 6.5041469 8.4779946 6.1983431 10.8973801
## 131 6.7108019 9.2555790 7.9226938 8.9103620 7.0717604 11.4453260
## 132 5.9576297 8.7306454 7.1635277 9.2895538 6.1160073 11.4334306
## 133 5.2625238 7.9345488 6.3456487 8.2905937 5.6173360 10.5356056
## 134 6.0826839 8.7957882 7.2655000 9.1147527 6.5198864 11.2134030
## 135 5.7500705 8.2805447 6.6986567 8.7088263 6.2973580 10.9508335
## 136 6.2646720 9.0291126 7.5124011 9.2348160 6.6542608 11.6929870
## 137 5.2591013 8.4888775 6.6450299 8.3974455 5.9612970 10.6512949
## 138 6.2012837 8.7174366 7.1649516 8.5953781 6.7957113 11.0982123
## 139 5.6802121 8.2698708 6.5880373 8.4036538 5.8879517 10.9077574
## 140 6.7623611 9.1013646 7.6786000 9.0951844 7.1416147 11.6999220
## 141 5.5758688 8.5371107 6.7445677 8.4080945 6.2050636 10.6240647
## 142 5.2750058 8.2905147 6.6135949 8.7516545 5.4451365 10.8454231
## 143 5.9060086 8.6933903 7.0319051 8.9499905 5.9565383 11.2882585
## 144 6.3462587 8.9204304 7.4991462 8.8596560 6.7048806 11.1988724
## 145 6.8641573 9.0682292 7.7639405 8.8392786 7.1236766 11.5349542
## 146 6.0248005 8.5569308 7.0991239 9.0411760 6.2876066 11.3636271
## 147 6.5009253 8.7053639 7.4046878 8.7975818 6.5076303 11.3201395
## 148 5.9948941 8.4077583 6.8412814 8.4182116 6.4294353 11.0104079
## 149 6.3328791 9.1151142 7.6364654 8.9287027 6.9201829 11.3907788
## 150 5.3654735 8.3251827 6.7189720 8.4020701 5.5722502 10.5637440
## 151 5.8787626 8.3959231 6.9860371 8.4532170 6.2116406 10.8291249
## 152 4.9905408 7.3792108 5.7821902 7.8047283 5.0986438 10.0528211
## 153 5.5401190 8.6181443 6.9629118 8.6265168 5.5547988 10.7498645
## 154 6.7257969 8.9981981 7.7234141 9.1176699 7.0668440 11.7119255
## 155 6.6232136 8.7681899 7.4688481 8.6744602 6.7318247 11.2198215
## 156 6.6230356 8.4955545 7.4003123 8.4905966 6.7810668 11.0004546
## 157 6.2968233 8.8160942 7.3182331 9.0937491 6.2805403 11.5520318
## 43 44 45 46 47 48
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 21
## 22
## 23
## 24
## 25
## 26
## 27
## 28
## 29
## 30
## 31
## 32
## 33
## 34
## 35
## 36
## 37
## 38
## 39
## 40
## 41
## 42
## 43
## 44 2.7914394
## 45 2.1603272 1.7360267
## 46 2.5210253 3.7249387 2.7028621
## 47 1.6829691 3.1544470 2.0933989 1.7984483
## 48 2.3726037 2.2209209 2.1997383 2.5083897 2.0654540
## 49 2.2172410 3.0850585 1.7881709 2.3882571 2.2219956 2.5174764
## 50 1.9679628 2.8733814 2.3257681 2.0579021 1.4819280 1.8353167
## 51 1.9323136 2.6391247 1.8628627 1.9476540 1.5079602 1.7529428
## 52 2.4448135 3.1111682 2.6127214 2.1179705 2.2507887 2.7306054
## 53 2.3022166 1.9710669 1.7942545 2.9878520 2.4555312 1.6538101
## 54 2.3316405 3.1361677 2.0958296 1.8783588 2.2010410 2.8791570
## 55 2.0592112 3.4757043 2.3794550 1.3014004 1.5880080 2.6069588
## 56 1.6738768 2.7193160 1.8251524 1.9026858 1.6619108 2.2585863
## 57 2.1389099 2.9426858 2.2118165 2.4807292 1.9571405 2.5475209
## 58 2.5695919 2.2910402 1.3719219 3.0706253 2.3957846 2.2067384
## 59 2.1732317 3.8137546 2.6645325 1.5209625 1.5860772 2.7045202
## 60 1.7939258 2.2341293 1.0724138 2.5341612 1.6758358 1.8107564
## 61 1.9537612 1.8943562 1.9824018 2.5338115 2.1940082 1.5639651
## 62 2.3464082 1.9822583 1.8673743 2.9052901 2.5041733 2.0272393
## 63 1.8263307 1.9633499 1.4756019 2.9307987 2.1634661 2.1580181
## 64 2.1949121 3.7201881 2.5921635 0.8134495 1.6426829 2.6536170
## 65 2.3992718 3.3441976 2.2736826 2.0240542 2.2532669 3.0849852
## 66 1.6451948 2.9324579 2.0278789 1.8838217 1.3674333 2.4367577
## 67 2.5477401 2.9139208 2.1652779 1.9073935 2.0103794 1.6836868
## 68 2.2714404 2.3162311 2.4111301 2.4535265 2.4884442 1.9010796
## 69 2.6923887 2.8514284 1.7290619 2.0203681 2.3155235 2.0789824
## 70 2.4387928 3.0263262 2.8492109 2.9927233 2.5577782 2.7767567
## 71 2.4658357 1.9446892 2.0023041 2.2640451 2.2539795 1.5062003
## 72 3.0923002 4.1652785 2.9851690 1.2779905 2.2767662 3.2634405
## 73 3.1539439 3.6592329 2.4619021 2.3085632 2.4927002 2.8476791
## 74 2.2664844 2.2788751 1.5046901 2.0645215 2.1463331 2.2038100
## 75 2.0953400 2.8682579 1.7963251 1.2470276 1.5601417 1.9254351
## 76 1.8646027 1.8516267 1.9303548 3.0208928 2.3029325 2.1786784
## 77 2.5128737 2.8766311 2.2180316 1.7149837 2.3258788 2.2872415
## 78 1.7404842 2.7338984 2.2003110 2.5988676 1.5203449 2.2127795
## 79 3.2637374 3.5841515 2.3863878 3.5141877 2.9724433 3.3342813
## 80 2.3986512 2.0758574 1.0256658 2.3147093 2.3817013 2.3631776
## 81 1.7510223 3.0672051 2.3837991 2.4911125 1.6337565 2.4966499
## 82 1.7226242 2.6644601 1.9456439 2.0724056 2.1505006 2.4316375
## 83 2.7384517 3.3087488 2.5416751 1.8203775 2.0420170 2.3710245
## 84 2.5471547 2.7180795 1.7772967 3.0207970 2.5335072 2.5331182
## 85 1.7485050 2.8447359 1.9340260 1.9886807 0.9443342 2.2614350
## 86 1.9474010 2.7050534 1.8440496 2.4449110 1.7613483 1.8977958
## 87 2.4654078 2.9246220 1.7915948 1.9125849 1.9358499 1.9085573
## 88 2.1339293 2.6224384 1.6761223 2.4076132 2.1085657 2.6066640
## 89 1.7999310 2.0746022 1.0811406 2.6158499 2.1907393 2.1997836
## 90 2.2296951 3.3123514 1.8758764 1.9238123 1.7247311 2.8193167
## 91 2.2468469 3.2747084 2.2340036 1.6956276 1.8059766 2.6739010
## 92 3.1872336 2.8975998 2.0388369 2.7052706 2.8030338 2.3400689
## 93 2.4504962 3.2668120 1.8794816 2.5904460 1.8976666 2.7035152
## 94 1.5190157 2.2031686 1.1472830 2.2946077 1.8847972 2.2384258
## 95 3.0535805 3.5246092 2.6345188 1.7630651 1.8965207 2.1483476
## 96 1.9057761 2.6521161 1.6092781 1.8453797 1.8630395 2.2529302
## 97 2.6433207 1.9656575 1.9559885 3.1608907 2.7192851 1.4260502
## 98 2.1754617 1.5843665 1.3080865 2.6811403 1.9793075 1.5228084
## 99 2.5054766 3.0922356 1.6592232 2.5191771 2.0226919 2.6629238
## 100 3.1120199 2.4726315 2.6039794 2.9496552 3.0862266 2.6863293
## 101 2.1538978 3.3707643 2.2503857 2.1544116 1.6812371 2.3092834
## 102 2.3754878 2.5393805 2.0098878 1.8431423 1.4992630 1.1297738
## 103 3.2255195 3.4775083 2.3063173 2.7614392 3.0210211 3.5211594
## 104 2.1969438 2.7052949 2.4818906 2.9032862 1.9965931 2.3138797
## 105 2.3179478 2.3157967 1.9559991 1.9776056 1.9639749 1.4336915
## 106 2.9296432 3.3567694 1.8873591 2.6956112 2.4947551 2.9317805
## 107 2.4786955 2.8527976 2.3063730 1.8214975 1.7203182 1.6766972
## 108 2.1577936 2.8020900 2.3855672 1.7314613 1.7749631 2.0490088
## 109 3.0123004 3.2711070 1.8763440 2.8424612 2.6090460 3.0317280
## 110 2.6138379 2.8111445 2.8276830 2.4772515 2.4261413 1.6829793
## 111 2.2640656 2.1722095 1.4747213 1.9085093 2.3254528 2.1461562
## 112 3.0079261 2.6601200 2.3163146 2.4167110 2.4846435 1.5588196
## 113 2.2231101 2.3042282 1.9966394 3.0746427 2.6802412 2.8424797
## 114 2.0072595 2.2546338 1.6812272 2.2487785 1.7789201 1.8490535
## 115 2.9232757 2.2956981 1.8270345 3.3077532 2.6340738 2.5261553
## 116 2.3726935 2.0072809 1.5686706 2.5782391 2.3968676 1.9945673
## 117 2.5270370 1.8486051 2.1465736 3.3643745 2.7364757 2.3471130
## 118 2.5772217 1.8197947 1.7602260 2.2312482 2.3996406 1.6136836
## 119 2.1359201 3.5827321 2.1621320 2.3000852 1.7584627 2.8378796
## 120 2.4687341 3.4084916 2.5341777 1.6727467 1.6153548 2.2271877
## 121 3.5597513 3.7079830 2.4862604 3.1828716 3.0153020 3.7275863
## 122 2.4837029 3.1165467 2.6068806 1.5676412 1.8599075 1.9936718
## 123 2.7833970 2.8036360 2.8065359 2.6991782 2.2351304 2.0243509
## 124 1.7948402 1.8928348 1.3836444 2.7856707 2.2749343 2.1526732
## 125 2.3870762 3.9284279 2.3741095 2.2110723 1.7637354 3.2526470
## 126 2.0148439 2.9214398 1.6729599 2.0198063 1.5533361 2.2978833
## 127 2.9548715 3.6898932 2.6136904 1.5533252 2.2482718 2.7930103
## 128 2.4552734 1.5759944 1.5886361 2.6739664 2.3409506 1.3002911
## 129 2.9788995 3.8841376 2.3976673 2.9044141 2.3414474 3.2837367
## 130 2.6698386 3.4993019 2.2741406 2.2016505 1.9867971 2.9097728
## 131 2.6114017 1.3688605 1.6516636 3.0322943 2.7019637 2.3006065
## 132 3.2724786 3.4607470 2.4102064 3.0888426 2.8569674 2.9367717
## 133 1.9399004 3.1420136 1.7079476 2.1207820 1.3701422 2.3176657
## 134 3.7963498 4.2193433 2.9081611 2.2740767 3.0342285 3.3738766
## 135 2.9186352 3.4489462 2.1686327 2.3575286 2.1499472 2.8094603
## 136 2.4547307 2.3951146 1.4637610 2.5278586 2.1790365 2.2368618
## 137 2.7516562 3.3232301 2.0208319 2.4173969 2.0305528 2.8082746
## 138 2.8294905 3.4191313 2.3041482 1.5231990 1.7527950 2.6785737
## 139 2.2838009 3.2507230 2.2343557 2.1575181 1.7067399 2.6342488
## 140 2.7871513 3.0720611 2.5923936 1.4907925 2.1104526 2.1651536
## 141 3.3547799 4.3709619 2.8986343 2.3695599 2.3595176 3.5561297
## 142 2.5876801 2.9351954 1.8178681 3.1814155 2.8534460 2.9725701
## 143 2.6378500 2.9425264 1.8612080 2.4739565 2.3453396 2.6593116
## 144 2.9845271 2.9413686 2.2436369 1.5164932 2.2772872 2.0561734
## 145 2.4385870 2.3673796 2.7965968 3.0790599 2.7756534 2.4895854
## 146 2.6674127 2.7826394 2.1408301 2.0129629 2.2288938 1.7802129
## 147 2.1586868 2.2352512 1.8229935 1.9379439 1.8984904 1.6966917
## 148 1.9459832 3.1226078 2.2103446 1.5261319 1.0427643 2.2400862
## 149 2.7004908 2.5265809 2.2213053 1.7656621 2.2420836 1.7026712
## 150 2.8013448 3.0238854 1.8741284 2.1642541 2.2091218 2.3123239
## 151 2.0087259 2.5398941 1.8800700 2.2448553 1.2201209 1.3757013
## 152 1.5609755 3.0011371 1.8239335 2.3848246 1.5779045 2.4685569
## 153 2.8698861 2.8087287 1.7063749 2.7474108 2.6259112 2.6662478
## 154 2.5023571 2.2281152 2.0244134 2.1006195 1.9850327 1.4979720
## 155 2.6591590 2.4899967 2.9509214 3.2714303 2.9317180 2.4626764
## 156 2.4855854 2.6951180 2.9273606 2.9077028 2.4169327 1.9049413
## 157 2.5274550 3.1589092 2.3404747 1.5296888 1.8569390 1.9609753
## 49 50 51 52 53 54
## 2
## 3
## 4
## 5
## 6
## 7
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## 47
## 48
## 49
## 50 2.6374791
## 51 2.0449221 0.9178298
## 52 3.2798006 1.8694237 1.8320829
## 53 2.3444976 1.8894456 1.4477749 2.4919123
## 54 2.4632717 2.1165272 1.7040462 1.3538658 2.3537725
## 55 2.2159431 1.5574851 1.3238479 1.7138754 2.4968684 1.1703712
## 56 2.2197302 1.2722698 1.2519331 1.5861814 1.8889932 1.2672969
## 57 2.7626173 2.1358227 1.7108223 1.4619777 2.1206157 1.5111275
## 58 1.6925913 2.3772474 1.8025582 3.1081521 1.5759462 2.5423434
## 59 2.2425200 1.7533199 1.4562673 1.9512115 2.5467387 1.6370723
## 60 1.3537358 2.1772742 1.6368510 2.7474182 1.6077362 2.2494105
## 61 2.7581191 1.9575984 1.7487653 1.7997642 1.5911756 2.2232287
## 62 2.7244493 2.2402684 1.8685876 2.2010631 1.4150204 2.3408355
## 63 2.2168574 2.1373018 1.7097523 2.4456541 1.4959490 2.3826637
## 64 2.2780562 2.1712631 1.9276164 1.9106135 2.8852706 1.6044236
## 65 2.5653262 2.4054464 1.9403769 1.4407195 2.6115469 0.6092755
## 66 2.6175965 1.9617014 1.9418852 1.5536930 2.5547886 1.6117125
## 67 2.0690825 1.4231301 1.2883949 2.4581143 1.7884070 2.1979720
## 68 3.1298481 2.1664914 2.0796601 1.6390639 2.0465680 2.1846089
## 69 1.4282303 2.4308720 2.0073991 2.9423063 2.1260494 2.2581016
## 70 3.6473710 2.0010665 2.0713542 1.3421992 2.2170937 2.1579107
## 71 2.9262156 1.9917104 1.9591177 1.9293142 2.0801810 2.2213280
## 72 2.7459073 2.3758093 2.1534879 2.2264709 3.3460871 1.6946060
## 73 1.7275301 2.6157371 2.1732593 3.3712078 2.9135630 2.6430456
## 74 2.2090422 1.7040553 1.2132787 1.5196627 1.6341474 1.1025362
## 75 1.9158486 1.7072221 1.4208216 1.8494680 2.0175098 1.5395137
## 76 2.9024279 1.6634741 1.8219200 2.1861817 1.8207223 2.3649208
## 77 2.5643004 1.7256215 1.4964851 1.3799276 1.9847583 1.2049200
## 78 2.8619117 1.0487859 1.3422323 1.7623997 1.8883030 2.1457032
## 79 2.0787441 3.4187095 2.9342164 4.0150358 3.0358021 3.1125186
## 80 1.8988725 2.4470376 1.8728811 2.2414398 1.9294622 1.6100459
## 81 2.9193152 1.9680806 1.8848763 1.7549679 2.3045442 2.1144995
## 82 2.1725441 1.5612855 1.3801161 1.7578493 1.8703188 1.3260593
## 83 2.8376960 2.1606349 1.8817287 1.6564242 2.5529879 1.6516568
## 84 1.8432983 2.6415471 1.8188300 2.8044577 1.5760042 2.1557360
## 85 2.5977264 1.5652774 1.6126262 1.6853446 2.4166336 1.9553145
## 86 1.6404204 1.4117824 1.0434991 2.6603467 1.5059272 2.3419447
## 87 1.3085201 2.4074555 1.7605256 2.7331294 2.0870381 2.1731060
## 88 2.1688012 2.2482514 1.8983423 2.2444729 2.3586316 1.6255978
## 89 1.7000495 2.2430099 1.8055599 2.4837096 1.4898964 1.9758092
## 90 1.8604140 1.8788233 1.4918615 2.1582080 2.3275459 1.3009814
## 91 2.4023072 2.4188783 2.2678252 2.3522287 3.0365317 1.8386568
## 92 1.8758120 2.5627591 2.1412413 3.3255908 2.1615744 2.6484460
## 93 1.6003718 2.3727980 1.8728026 3.0237539 2.3914786 2.2335046
## 94 1.7910770 2.2136857 1.7369625 2.0415244 1.8012951 1.5441670
## 95 2.6854405 1.8706454 1.7882689 2.4568335 2.6230141 2.2948329
## 96 1.7496533 1.5260273 0.9746445 1.7667261 1.6707162 1.1002401
## 97 2.2337460 2.4211624 2.0503000 3.2511219 1.2629790 3.1157830
## 98 2.3296450 1.9849004 1.5258875 2.2963730 1.4237265 2.3261395
## 99 1.6748972 2.8283097 2.1881000 2.8235949 2.4102036 2.1438137
## 100 3.6913609 2.4515563 2.3331859 1.4450809 2.2838572 2.0144843
## 101 1.7673938 1.8012219 1.6874241 2.8493992 2.3232521 2.3210827
## 102 2.4491940 1.6200344 1.6003239 2.2448180 2.1264817 2.4262291
## 103 2.6005709 3.2902504 2.6690183 2.6267114 2.9643851 1.5326675
## 104 3.3215574 1.4411173 1.5839603 1.6338188 1.9344299 2.3202567
## 105 2.5083413 1.6469367 1.4008464 1.8156658 1.6640338 2.0887835
## 106 1.4658052 3.1461528 2.4398032 3.2595901 2.5841404 2.4285047
## 107 2.7053612 1.0674262 1.2938070 1.8733137 2.0816450 2.0572522
## 108 3.0467910 1.7505130 1.8835678 1.2831306 2.5159495 1.8567862
## 109 1.6057036 2.9146692 2.1400725 3.1689187 2.4132683 2.1863309
## 110 3.1789699 1.7279829 1.8822754 2.3358300 2.1481369 2.8834215
## 111 2.0713473 2.2367738 1.8375339 1.9878929 2.0635830 1.5332343
## 112 2.5177115 1.8789837 1.3691433 2.4584860 1.5370731 2.4281904
## 113 2.9199495 1.9676537 1.9401754 2.2175260 1.9710301 2.0407523
## 114 2.5052030 1.3768191 1.1393230 1.3397634 1.3859820 1.5006760
## 115 2.8063379 2.7056972 2.1132911 2.4910446 1.8798814 2.4191000
## 116 2.2480814 2.2932618 1.6909089 2.1876679 1.5208897 2.0987790
## 117 3.2618843 2.3881822 2.0731108 1.9934420 1.7153151 2.4199087
## 118 2.6489509 2.0123990 1.8706696 2.0973812 1.9521663 2.1928958
## 119 1.1499642 2.4810769 2.0933789 3.3266127 2.8308729 2.5713537
## 120 2.6169114 1.5829636 1.2177605 1.5551783 2.2100385 1.6452135
## 121 2.8606146 3.5376924 3.0654367 3.3184423 3.5032080 2.4769164
## 122 3.0170930 1.5386936 1.7125615 1.5782178 2.4419028 2.0969608
## 123 3.5435634 1.7223822 1.7859534 1.7457118 2.3455632 2.5730432
## 124 1.9349833 2.0902065 1.6990114 2.5944842 1.5735231 2.3575113
## 125 1.8659865 2.7288773 2.4788793 3.1964585 3.2867110 2.3694985
## 126 1.2727957 2.0703472 1.7215348 2.9377774 2.5172781 2.3238597
## 127 2.5163535 2.7260742 2.5740806 2.7893145 3.3125005 2.2068343
## 128 2.4026011 1.9032872 1.7171779 2.5794519 1.4165324 2.6364254
## 129 1.8221742 2.8991680 2.4645046 3.6096436 3.0180832 2.7226466
## 130 2.2119109 2.2939624 2.1268715 2.8757412 2.9817804 2.1831635
## 131 3.1310392 2.5526516 2.3725528 2.1152930 2.1584550 2.3264576
## 132 1.9029722 3.1608483 2.6731323 3.8153086 2.9323789 3.0474228
## 133 1.2691741 2.2743819 1.8445382 2.8648144 2.3459169 2.1738865
## 134 2.2546523 3.4213482 3.0320141 3.7944426 3.6278476 2.8943206
## 135 1.9077281 2.4121612 2.0922707 3.1523786 2.8481178 2.4521210
## 136 1.7799623 2.6380833 2.1747641 3.0240737 2.4878593 2.4228524
## 137 2.0360546 2.5667662 1.9508516 2.6065896 2.5786735 1.9820268
## 138 2.6652517 2.3664813 2.2175403 2.2718282 3.1413154 1.9620058
## 139 2.4629039 2.1845366 1.8613040 2.1314728 2.6457751 1.7170401
## 140 2.9830633 2.0766187 2.1515634 2.0683850 2.9819388 2.3019762
## 141 2.5980534 3.3927187 3.0097899 3.3078233 3.7667533 2.6554455
## 142 1.3064018 2.9474521 2.2743741 3.4082143 2.1479795 2.4686765
## 143 1.9337209 2.6219631 2.1138276 2.7477045 2.5138413 1.9954533
## 144 2.6541954 2.1292745 1.9416317 2.1140192 2.4749707 1.9673018
## 145 3.7868753 2.3430263 2.4795193 1.8576474 2.5901949 2.6857330
## 146 1.9935808 1.7432429 1.3980387 2.6483274 1.9940016 2.2536456
## 147 2.6104847 1.8794378 1.8947110 1.8723368 2.1989123 1.9694773
## 148 2.5456000 1.8203268 1.7716060 1.8346770 2.7346929 1.8661920
## 149 2.7208475 1.9172584 1.6819005 1.8514063 2.1803903 2.0941619
## 150 1.9509680 2.3423086 1.7487474 2.4201742 1.9991820 1.7101269
## 151 2.4041789 1.7841002 1.6462528 2.2581927 1.9607555 2.3920510
## 152 1.8276232 1.7334348 1.4383197 2.2793198 1.8595330 1.7628341
## 153 2.0510528 2.7981770 2.1535902 2.6517342 2.0506120 1.8617886
## 154 2.7453872 1.8754757 1.9019138 2.3010990 2.3679867 2.4186492
## 155 3.8748287 2.0656490 2.2474193 1.7682156 2.2067147 2.6867358
## 156 3.7083856 1.9216650 2.3309083 2.1366936 2.3837731 2.9973349
## 157 2.2741276 2.3060677 2.0593501 2.5145447 2.7110868 2.1911525
## 55 56 57 58 59 60
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
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## 31
## 32
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## 42
## 43
## 44
## 45
## 46
## 47
## 48
## 49
## 50
## 51
## 52
## 53
## 54
## 55
## 56 1.1621997
## 57 1.8032413 1.7458432
## 58 2.5280253 2.0899550 2.4298218
## 59 0.9465521 1.5950162 1.8269313 2.6485640
## 60 2.2050207 1.8791875 1.9862895 1.2306280 2.2601074
## 61 2.4417119 1.9662326 1.8169256 2.5438904 2.5456890 1.9329867
## 62 2.7250759 2.2441137 2.1611083 2.4752148 2.7308736 1.9563572
## 63 2.5792409 2.0772338 2.1302695 2.0453305 2.5472992 1.4962800
## 64 1.2117416 1.8184689 2.0082017 3.0071459 1.1674572 2.3143019
## 65 1.3463394 1.5860888 1.2779037 2.6704589 1.6252549 2.3265153
## 66 1.6466877 1.3975631 1.4613737 2.7206486 1.8899581 1.9725954
## 67 1.7723739 1.5197346 2.5388470 1.8726679 1.9218705 1.9979756
## 68 2.4758642 2.0739948 1.9837313 3.0307629 2.6977250 2.4360284
## 69 2.2127377 2.0056783 2.7964417 1.8519965 2.3685839 1.6638481
## 70 2.4758346 2.0610784 1.7957205 3.2978921 2.5021927 2.8703251
## 71 2.3628249 1.9266959 2.2033613 2.6027987 2.7955480 2.1951764
## 72 1.1580559 2.0628773 2.5264681 3.1499527 1.5782391 2.9597487
## 73 2.1246891 2.3868360 3.1007307 1.9535044 2.3120012 2.3065989
## 74 1.5389250 1.1174077 1.6848064 1.8622886 1.9563829 1.8494337
## 75 1.4803944 1.3914384 1.9974711 2.3003553 1.5540856 1.7102771
## 76 2.3958275 1.4749735 2.2291365 2.2058232 2.8084878 2.1735399
## 77 1.4842630 1.2482213 1.9724513 2.5224004 1.8587055 2.3729965
## 78 1.9311828 1.3561655 1.7534735 2.3871526 1.9507445 2.0895856
## 79 2.9720263 2.8574083 3.1498791 1.7103148 3.1813382 2.1118080
## 80 2.1678482 1.8377391 2.1417316 1.9400367 2.4895312 1.5918325
## 81 2.1637675 1.9798858 1.5421934 2.9669784 1.9979291 2.1351115
## 82 1.3883491 0.7863965 2.0514379 2.2566274 1.8542296 2.0824404
## 83 1.6090261 1.8350267 1.4242430 2.6212118 1.8199943 2.3552521
## 84 2.4010566 2.2727058 1.8341860 1.3836770 2.3330325 1.3731135
## 85 1.7681673 1.5538071 1.6763407 2.5682431 1.8209030 1.8971566
## 86 1.8968069 1.5581353 2.3396056 1.3509599 1.8596274 1.4749595
## 87 2.0292622 2.1475988 2.1832474 1.7607273 1.9597961 1.2644488
## 88 1.7089280 1.4051865 1.7919703 1.8159105 2.2561695 1.8031745
## 89 2.3024841 1.6692721 2.1857542 1.7761133 2.4234413 1.2272036
## 90 1.1411322 1.2068623 1.9911280 2.0000272 1.3197844 1.8697945
## 91 1.5950406 1.8093836 2.1746491 2.7321664 2.2179232 2.1806333
## 92 2.5272377 2.2512418 3.1073793 1.4630080 2.7828080 2.0634806
## 93 1.9121008 1.9445414 2.2527583 1.3628122 2.0210044 1.4768614
## 94 1.9369305 1.4887158 1.5748214 1.9335447 2.1154415 1.1677322
## 95 1.7562492 2.0000351 2.4113695 2.4381510 1.9538037 2.4084106
## 96 1.1358612 0.8659860 1.7579834 1.7650043 1.4665577 1.6591194
## 97 3.1066540 2.5978067 2.9719250 1.8849155 3.0980754 1.7337749
## 98 2.4690680 2.0881562 1.9334479 1.8289581 2.5989776 1.3393346
## 99 2.2953097 2.3037244 1.9098087 1.8526231 2.1704743 1.2494844
## 100 2.6746836 2.2088965 2.1428289 3.1545657 3.0438299 2.9920346
## 101 1.6462763 1.5247803 2.4753182 1.8263353 1.7729115 1.8126656
## 102 2.0945488 1.8897810 2.2165484 2.2349543 2.2398422 1.8248131
## 103 2.2509384 2.3854334 2.1128882 2.5675954 2.6166817 2.4842608
## 104 2.3165333 1.8960784 1.7027646 2.7635980 2.3362920 2.4291633
## 105 2.1374349 1.8810380 2.0936482 2.4464241 2.1923563 1.9473713
## 106 2.5749476 2.6289003 2.5129076 1.9074914 2.4063420 1.5715047
## 107 1.6158446 1.4009081 2.1304524 2.3141898 1.9701100 2.2441977
## 108 1.8360815 1.6862884 1.8329431 3.0471496 2.2103286 2.4180194
## 109 2.2908123 2.4096012 2.4178899 1.4619735 2.3650005 1.7254102
## 110 2.6781396 2.4393294 2.8461221 3.1679263 2.6753802 2.7226775
## 111 1.9427195 1.6171016 2.1886963 2.2543465 2.4005989 1.8704518
## 112 2.3122508 2.2478115 2.4054682 2.0491987 2.3712076 2.1607018
## 113 2.3727676 1.6080348 2.5482408 2.5414970 2.8148171 2.4712972
## 114 1.7055925 1.0578584 1.2349536 1.9090207 1.8805599 1.7173218
## 115 2.8184462 2.4640740 1.6392252 1.7888789 2.8070733 1.8721085
## 116 2.4703431 2.1709369 2.0217254 2.1465103 2.4989209 1.6874086
## 117 2.8422781 2.2744987 1.6219862 2.4159515 2.9679511 2.2763536
## 118 2.3814844 1.9002043 2.4608760 2.3997516 2.7988355 2.1442405
## 119 1.9983409 2.2387274 2.8488440 2.1478874 2.0170137 1.6965489
## 120 1.3021774 1.7443591 1.4108974 2.5550885 1.0897965 2.1914960
## 121 2.7001756 2.7844090 2.6613020 2.5214225 3.0968338 2.6516503
## 122 1.9094673 1.9004764 2.2850361 3.1465632 2.0537685 2.5829632
## 123 2.4224362 2.3131262 1.9147615 2.9512631 2.5710457 2.7254730
## 124 2.4823962 1.9420984 2.4931832 1.9599707 2.5886133 1.5635935
## 125 1.8931797 2.1961888 2.7351490 2.5897034 2.0689442 2.0891232
## 126 1.7941154 1.8932712 2.6145129 1.8316169 2.1279661 1.4736641
## 127 1.8986877 2.2061238 2.7664182 2.9277192 2.4293716 2.5560490
## 128 2.6844212 2.0802154 2.6655137 1.9832638 2.8573741 1.8068772
## 129 2.3319271 2.4751230 2.9089326 1.8760269 2.3866328 2.0550094
## 130 1.6643638 1.8104423 2.6199539 2.1635434 2.1918693 2.2406061
## 131 2.8633562 2.1861331 2.2106735 2.5652645 3.2521947 2.2561816
## 132 2.7618987 2.7445147 3.1434149 1.6301792 2.9639792 2.1381200
## 133 1.8301675 1.8809687 2.1549061 1.7721329 1.8458185 1.0379942
## 134 2.6397248 2.9995285 3.6760196 2.9309289 2.9114439 2.8680015
## 135 1.9733746 2.0775421 2.8116338 1.7868171 2.2901158 2.1073860
## 136 2.3342180 2.2274379 2.4744849 1.6657837 2.7693317 1.4446219
## 137 1.9040389 2.1185636 1.7745865 1.7711132 1.9040811 1.7751967
## 138 1.7273578 2.0586545 2.2929795 2.8036181 2.1951310 2.3811708
## 139 1.4599368 1.7079478 1.4224842 2.2519086 1.8279323 1.9787918
## 140 2.0051337 2.0901376 2.5817667 3.0631367 2.4874178 2.7062766
## 141 2.4332175 2.8894333 2.7249613 3.0322078 2.3963943 2.6239502
## 142 2.5594244 2.3116793 2.7180288 1.2730414 2.6734337 1.6335285
## 143 1.9756377 1.9257403 2.1144375 1.6266875 2.3664748 1.7982786
## 144 2.0069546 2.0345551 2.5404806 2.7523193 2.3906913 2.4172035
## 145 2.9232217 2.4747266 2.4099947 3.5357502 3.2324538 2.9861658
## 146 1.8198325 1.8096525 2.6312429 1.8068963 2.2063059 2.0270779
## 147 2.0198341 1.5217120 2.0591480 2.4439320 2.4748339 1.9848307
## 148 1.4441177 1.6906474 1.6943988 2.6995830 1.7826432 2.0167723
## 149 2.1247894 2.0893449 2.3298167 2.7301609 2.3882268 2.3358026
## 150 1.8358539 1.8096587 1.8826712 1.6246530 1.9367327 1.6786416
## 151 2.1650312 1.8972087 1.7065061 2.0920601 2.1512278 1.4076721
## 152 1.5596127 1.1188035 1.7200027 1.7365201 1.5153349 1.4611096
## 153 2.2983593 2.0561027 1.9078704 1.5413569 2.4450693 1.6849754
## 154 2.2282001 1.9742670 2.4555713 2.4610639 2.7345655 2.1441887
## 155 2.8943848 2.3412510 2.3320852 3.3446453 3.1114028 3.0834417
## 156 2.9370781 2.3992747 2.5910793 3.4068604 3.0127748 2.8702640
## 157 1.8115235 2.0757796 2.2600513 2.5219750 2.1994759 2.0268223
## 61 62 63 64 65 66
## 2
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## 59
## 60
## 61
## 62 1.0570236
## 63 1.4384191 1.0075857
## 64 2.3688106 2.7051419 2.6635223
## 65 2.3604713 2.5582302 2.5205660 1.5813502
## 66 1.8533053 2.3526199 2.2321479 1.5145577 1.5875400
## 67 2.3119036 2.4875498 2.4721229 2.2050311 2.5194007 2.4144481
## 68 0.7925358 1.5512247 2.0770850 2.3426608 2.3630632 1.8764567
## 69 2.4924143 2.4693476 2.4261322 2.1824990 2.5369943 2.4807403
## 70 1.6947467 1.8009267 2.1552636 2.6990375 2.3139989 2.0979576
## 71 1.2982021 1.9668162 2.3109014 2.4199912 2.4619685 1.8621323
## 72 3.2091047 3.4647507 3.4124180 1.4944351 1.7737881 2.3195913
## 73 3.4213386 3.5465356 3.2050296 2.5573466 2.7572662 3.0374986
## 74 1.7169410 1.8182237 1.8530985 2.0394288 1.4395739 1.8401203
## 75 1.7620168 1.8741836 1.9533109 1.2154652 1.8007977 1.5305290
## 76 1.8396761 2.2443393 2.0109011 2.9928805 2.6044804 2.0660608
## 77 1.8804339 2.1010187 2.3746129 1.8016628 1.6196025 1.9302962
## 78 1.8505056 2.0655722 1.8225323 2.4172094 2.2949890 1.7021640
## 79 3.7940195 3.8658487 3.4080300 3.4220796 3.1243304 3.2476784
## 80 1.8264172 1.6717263 1.6642897 2.2151019 1.8452938 2.0489736
## 81 1.6312550 1.7486978 1.6977996 2.0106885 2.1216092 1.4330912
## 82 1.9621192 2.1416586 1.9935875 2.0132871 1.7224730 1.8629940
## 83 2.2469016 2.7853851 2.9207054 1.7163372 1.5504263 1.6889025
## 84 2.3314640 2.1191146 1.8581004 2.6930622 2.1440719 2.6280801
## 85 1.8145671 2.1195850 1.8634949 1.7439977 1.9851718 0.9875284
## 86 2.2617660 2.2801300 1.8064296 2.4330404 2.5449893 2.4083857
## 87 2.2147488 2.3309290 2.2003092 1.8146675 2.2022095 2.2291908
## 88 2.4339218 2.8299208 2.5234223 2.2903831 1.6368112 1.7416144
## 89 1.7255591 1.4541005 1.1457786 2.3836450 2.2183930 2.0079435
## 90 2.6593674 2.6166576 2.3053098 1.7447038 1.4937940 1.8668320
## 91 2.6348200 3.1499366 2.9924549 1.6794469 1.8661045 1.4196977
## 92 2.9985726 3.0000863 2.8802083 2.9550946 2.9322519 3.0952927
## 93 3.0069829 3.0703286 2.6000458 2.4404998 2.2485517 2.3708831
## 94 1.5286346 1.6385501 1.3572787 1.9230660 1.6116029 1.3988646
## 95 2.7690852 3.1142765 3.1615811 2.0843659 2.4452041 2.3138441
## 96 1.9474232 2.0065431 1.8149820 1.7522921 1.4212973 1.8141481
## 97 1.8914003 1.6710980 1.6767968 3.1896778 3.3675045 3.0500365
## 98 1.1737935 1.1706777 1.1248551 2.5771403 2.4613230 2.1035702
## 99 2.5310140 2.4975523 2.1830520 2.1119580 1.9965076 2.0652814
## 100 1.7376879 1.9739715 2.5798058 2.9197792 2.2741269 2.3888641
## 101 2.8467217 3.1022978 2.7316231 2.1901841 2.4786276 2.2160210
## 102 1.7466285 2.2692989 2.3030582 2.0506146 2.5665626 1.8309580
## 103 3.0847531 3.1320076 3.1000658 2.4844900 1.4153771 2.4739262
## 104 1.6481421 1.8108774 1.8497167 2.6990925 2.4514779 2.0013844
## 105 1.0387498 1.1880153 1.6143596 2.0208319 2.3341766 1.9975426
## 106 2.9294817 2.7285089 2.4290055 2.3921747 2.3642860 2.6624561
## 107 2.0685588 2.5313678 2.5990824 2.1082388 2.3180471 1.9255361
## 108 1.5085398 2.1970587 2.4350949 1.7302611 2.0121506 1.1691346
## 109 3.0976192 2.9191555 2.5812568 2.6626551 2.1930843 2.8445551
## 110 1.5711020 1.7575229 2.1474952 2.6360486 3.1681832 2.6786928
## 111 1.6645888 1.8869623 1.9988313 1.9562110 1.8281477 1.8559540
## 112 1.9831504 2.0207726 2.2875704 2.5975897 2.6694019 2.8171988
## 113 2.1980589 2.0153326 1.9025332 3.0180764 2.4683988 2.4271304
## 114 1.3592039 1.6662692 1.7278308 2.0960603 1.6761989 1.4813493
## 115 2.0946312 2.0795265 1.9874263 3.0347732 2.3147123 2.4913992
## 116 1.2124030 0.8276094 1.0716362 2.3982613 2.2469501 2.2816860
## 117 1.3836039 1.6699226 1.7897895 3.1211174 2.4291548 2.3273738
## 118 1.4451638 1.8168923 2.1189002 2.4610067 2.5095128 2.1317162
## 119 3.1243002 3.1345403 2.5387835 2.1864346 2.6475213 2.5104323
## 120 2.0678741 2.3159665 2.4115417 1.4798801 1.6572959 1.8378685
## 121 3.6966701 3.8843958 3.6301699 3.0499255 2.3255869 2.7677553
## 122 1.7018339 2.0329203 2.3840647 1.7330245 2.3693533 1.8281432
## 123 1.7711795 2.3453590 2.5540393 2.7158328 2.6319179 2.2807001
## 124 1.6677561 1.3503172 0.7660430 2.6595979 2.5972901 2.3844933
## 125 3.3921025 3.5173879 3.0412469 2.0199328 2.3779332 2.1492666
## 126 2.6554133 2.8194371 2.3059166 2.1101872 2.4680015 2.1929900
## 127 3.0817365 3.5260098 3.4930638 1.8465760 2.3159010 2.1005467
## 128 1.4577146 1.4359218 1.5510771 2.8106402 2.9397056 2.4947921
## 129 3.6826638 3.6808430 3.1763231 2.8003528 2.7391872 2.9006432
## 130 3.2472757 3.5354683 3.1879181 2.3407547 2.2907193 2.2714861
## 131 1.4632399 1.7765028 1.9948628 2.9664677 2.4930726 2.0427057
## 132 3.5740014 3.7682853 3.3798796 3.1560938 3.0678944 3.2186887
## 133 2.5713341 2.6788967 2.2511112 1.8769589 2.2010705 1.8710885
## 134 3.8806893 3.9363849 3.8418701 2.6106030 3.0703814 3.3045520
## 135 3.3090579 3.4817163 3.0929434 2.5305536 2.5560868 2.6322985
## 136 2.5378382 2.8476273 2.5258458 2.5654456 2.4775086 2.2890503
## 137 2.8191249 2.9731883 2.6483043 2.1697706 1.7704974 2.1905528
## 138 2.7369190 3.1188175 3.0667179 1.6938544 2.0014411 1.6746347
## 139 2.5665494 3.0249911 2.7967921 1.9339947 1.5444963 1.5816917
## 140 2.2699136 2.9144084 3.0290361 1.9540912 2.4571459 1.9631554
## 141 3.6693134 3.8913999 3.6366533 2.1322903 2.4233780 2.4589025
## 142 3.0106910 2.8660914 2.3690022 2.9939044 2.5605678 2.9925198
## 143 2.7935262 3.1182876 2.8323145 2.4081330 1.9513102 2.2347848
## 144 2.1349342 2.3416164 2.6947618 1.9121299 2.3015601 2.1666106
## 145 1.3476526 1.9417250 2.2958072 2.9895114 2.8552188 2.2284290
## 146 2.4378161 2.6896390 2.6242100 2.3755694 2.5439219 2.6261512
## 147 1.5735088 2.2210593 2.3423910 2.0521659 2.1818544 1.3766473
## 148 2.1010287 2.6615140 2.5161943 1.3989738 1.8337037 0.9881159
## 149 1.4818395 1.8184898 2.2258839 2.0206118 2.3448055 2.1792953
## 150 2.4643284 2.5531722 2.5541976 2.0748954 1.7885915 2.1945262
## 151 1.6309670 2.1060107 2.0035977 2.0965519 2.4118577 1.5116078
## 152 2.3150031 2.3932962 1.9310645 2.0540957 1.8521416 1.7155342
## 153 2.5501440 2.5789617 2.4994852 2.5285414 1.8583980 2.3515922
## 154 1.8774431 2.4831337 2.5698286 2.4131676 2.6395673 1.9899925
## 155 1.5142196 1.9596770 2.3518928 3.2005012 2.8934265 2.5334301
## 156 1.4640341 2.0355628 2.4018145 2.9033513 3.2024759 2.2437663
## 157 2.3886188 2.9623435 2.9657455 1.7174763 2.2462889 1.8864543
## 67 68 69 70 71 72
## 2
## 3
## 4
## 5
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## 67
## 68 2.4989288
## 69 1.4097615 2.6829776
## 70 2.8778375 1.6959622 3.4065284
## 71 2.0629333 1.1999589 2.2626929 2.3515869
## 72 2.2444350 3.1452701 2.5218798 3.2804100 2.8610597
## 73 1.7557861 3.6889048 1.8081776 4.0891601 3.1084584 2.1129643
## 74 1.6050039 1.8721958 1.8441681 2.1269120 1.6542318 2.1106539
## 75 1.4631062 1.8575320 1.3309488 2.3534321 1.7755627 1.9647621
## 76 2.2333008 2.0851458 2.7933778 2.1753690 1.8515757 3.2774607
## 77 1.5292465 1.7114069 1.9152437 2.0861828 1.7129948 1.9290773
## 78 2.0918813 2.2041059 2.8202404 1.5645560 2.2268895 2.8473843
## 79 2.8067714 4.1166203 2.4592582 4.4369505 3.5826234 3.3508754
## 80 2.1626760 2.0652203 1.5833332 2.6858174 1.8544566 2.6157900
## 81 2.7602507 1.8708394 2.9568940 1.4134047 2.3753797 2.9933470
## 82 1.7351223 2.0328604 2.0891274 2.1472053 2.0833258 2.2694297
## 83 2.0626745 2.1816800 2.4238504 2.5632171 1.9142579 1.8266641
## 84 2.3774387 2.7709520 2.2013795 2.8872182 2.7919773 3.0756746
## 85 2.2684182 2.0822649 2.5341534 2.0106630 1.9955026 2.4118534
## 86 1.2722936 2.7260815 1.8831002 2.7763893 2.5157423 2.6994856
## 87 1.7419975 2.5312319 1.2102515 3.2183222 2.2681010 2.3928602
## 88 2.1582260 2.5970743 2.2359126 2.9404353 2.1384269 2.2817305
## 89 2.1194385 2.0970335 1.6756763 2.4712105 2.1747317 3.0922970
## 90 1.7864188 2.8824959 1.8939478 2.7058167 2.6795039 1.6959193
## 91 2.4146286 2.5762238 2.2850885 3.1895551 2.0941559 1.8898574
## 92 1.3592243 3.2489978 1.2271938 3.7975457 2.6236401 2.7965556
## 93 2.0350515 3.3699378 2.0181406 3.4493490 2.9517799 2.4309626
## 94 2.2579365 1.8531578 1.8993386 2.2935429 1.9362207 2.7201703
## 95 1.3843373 2.8359059 2.0623567 3.1599883 2.2128006 1.7883491
## 96 1.4157512 2.1730939 1.6870777 2.2776062 2.0662858 1.9200965
## 97 2.0321882 2.4096757 1.9763254 3.0653865 2.2995895 3.8082079
## 98 2.1768459 1.8009697 2.2099956 2.2861678 1.5884463 3.1494607
## 99 2.5079532 2.8883436 1.9184573 3.2089385 2.7440268 2.7129907
## 100 2.7221357 1.4720040 3.0554878 1.7057071 1.6205912 3.1322491
## 101 1.3863440 3.0704791 1.8416237 3.2615932 2.7011078 2.2908726
## 102 1.4984112 1.9629874 1.8966169 2.7067460 1.3164436 2.5103900
## 103 2.9354010 3.1067198 2.4970963 3.3764364 2.9160475 2.3636248
## 104 2.5130101 1.9453187 3.2034428 1.0463316 2.1922222 3.1557104
## 105 1.7458322 1.3154339 1.9761517 1.9831226 1.3614217 2.6864429
## 106 2.5548720 3.2961111 1.7308818 3.6587999 3.1305116 2.8575774
## 107 1.1364890 2.1006753 2.1276144 2.4260663 1.5495667 2.0829529
## 108 2.2683160 1.2370624 2.5867935 1.9068552 1.1631623 2.3516877
## 109 2.3656484 3.4541554 1.9643585 3.6213432 3.1439302 2.5942274
## 110 2.1708244 1.7463747 2.7472699 2.1785118 1.9648863 3.2793446
## 111 1.9441931 1.6874183 1.5668909 2.6185411 1.4108000 2.3759663
## 112 1.3965334 2.2367595 1.9903900 2.7081973 1.9721047 2.7121354
## 113 2.4840762 2.3804972 2.7893512 2.0608454 2.3863262 3.2005610
## 114 1.6482162 1.6069560 2.1532459 1.6133463 1.5184570 2.4731044
## 115 2.6838152 2.5615496 2.7493537 2.6294030 2.4274195 3.3463656
## 116 2.2787468 1.6786822 2.0864541 2.2302795 1.9021946 3.0690349
## 117 2.8112438 1.7867135 3.1516057 1.8039048 1.9818191 3.5907882
## 118 1.8340249 1.4460897 1.9002498 2.5351838 0.7672885 2.8053987
## 119 2.3042726 3.5011463 2.0439745 3.7059218 3.2194185 2.5191428
## 120 1.8371512 2.2016731 2.4108053 2.0881239 2.2229316 1.7883443
## 121 3.1721563 3.8363776 2.8570021 4.1162262 3.2617449 2.6784788
## 122 1.9923988 1.5434593 2.4342142 1.9465036 1.6288132 2.3219307
## 123 2.4524131 1.9153354 3.2541957 1.9536834 1.7765201 2.9448528
## 124 2.2385162 2.2278788 2.1396985 2.5029919 2.2802846 3.2854943
## 125 2.6216935 3.5975758 2.3043289 3.7498566 3.2648556 2.2192897
## 126 1.9011281 2.9936544 1.7635976 3.4372865 2.4929627 2.2874092
## 127 2.2545404 2.9731690 2.0099397 3.7174532 2.3427830 1.7511052
## 128 1.7304816 1.8865968 1.8662268 2.5974071 1.5345751 3.2925763
## 129 2.4420638 4.0214673 2.2926977 4.0749069 3.5728415 2.6366645
## 130 2.0146473 3.4143097 2.2173579 3.6321324 2.7567199 1.8641027
## 131 2.7351255 1.5748211 2.6770331 2.3212357 1.2724312 3.4155750
## 132 2.3260932 3.8883714 2.1211218 4.4060386 3.2563698 2.9866698
## 133 2.0376542 2.9058626 1.6800594 3.2171201 2.6200241 2.4438523
## 134 2.4560078 3.9492955 1.7420329 4.5975365 3.3492470 2.2674789
## 135 1.8179101 3.5650520 1.9347530 3.8493956 2.9024436 2.0816368
## 136 2.2717668 2.8428107 1.9009579 3.5986843 2.1307658 2.7344594
## 137 2.2729236 3.1305085 2.2409481 3.2697322 2.7862571 2.1403944
## 138 2.2959484 2.7221111 2.2555410 3.2110496 2.0890129 1.5688987
## 139 2.3060258 2.7065350 2.5581349 2.8619177 2.3392848 1.9542761
## 140 2.0694343 2.1264599 2.4021868 3.0051050 1.4299159 2.0302517
## 141 3.0404694 3.8010068 2.6418428 4.1143590 3.4340503 2.2249775
## 142 2.4032838 3.4174780 2.0051598 3.6702052 3.2195261 3.1826158
## 143 2.1198984 2.9848018 1.9961296 3.4783003 2.4565763 2.2986236
## 144 1.7208295 1.9811520 1.6793575 2.8068688 1.4703565 2.0478409
## 145 3.1544306 1.2199145 3.5193894 1.6357092 1.7004077 3.6352307
## 146 0.9224820 2.6371898 1.5941411 3.2057521 2.0264091 2.1956722
## 147 1.8739138 1.4712627 1.9874417 2.4504176 0.7751038 2.5277226
## 148 2.2536541 2.1711131 2.4694950 2.5452454 1.8441401 1.9234791
## 149 1.8690019 1.4879932 2.0826928 2.4069221 1.1968717 2.4107231
## 150 1.6042095 2.6415059 1.4617552 3.0008874 2.2838233 2.1351258
## 151 1.9633605 1.9778396 2.1887153 2.4415051 1.6878813 2.8188533
## 152 1.8687297 2.6363229 2.1150646 2.4297612 2.6240485 2.5057997
## 153 2.1936959 2.7492965 1.8072189 3.1318767 2.4948681 2.6887318
## 154 1.8880833 1.9434739 2.1941088 2.8657225 0.8794547 2.6194111
## 155 2.8847944 1.4667958 3.5539644 1.2654433 1.9561773 3.6581138
## 156 2.6586478 1.4479296 3.2351425 1.7534809 1.7541822 3.6544153
## 157 1.9431512 2.3772638 1.9048715 3.2769475 1.7867064 2.0336923
## 73 74 75 76 77 78
## 2
## 3
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## 73
## 74 2.3120815
## 75 2.3324260 1.4011669
## 76 3.1818554 1.7331045 2.3968693
## 77 2.5963899 0.9578691 1.2431357 2.1521370
## 78 3.1076354 1.8496127 1.9983612 1.4670365 2.1115326
## 79 2.0358982 2.9242172 3.1169768 3.2994081 3.4261444 3.4635266
## 80 2.5389396 1.1403998 1.4668516 2.2990730 1.6975821 2.4922758
## 81 3.6429967 2.2243368 1.8483683 2.3825228 2.3208304 1.4731405
## 82 2.5544038 1.0933300 1.5811919 1.6005727 1.1977997 1.7780414
## 83 2.5632578 1.7490962 1.8057034 2.6124296 1.6734811 2.3101923
## 84 2.5457435 1.8679436 2.2352428 2.6739402 2.4247944 2.5149343
## 85 2.9247301 1.8674026 1.5241377 2.0284717 2.1020656 1.2521285
## 86 1.9135097 1.7580470 1.8298562 1.9587775 2.1277407 1.6754729
## 87 1.8241253 1.8905709 1.3975135 2.8859331 2.1153790 2.6512466
## 88 2.1517210 1.4670067 2.1128988 1.8449680 2.0159093 2.2217889
## 89 2.8083910 1.5692426 1.5359440 2.0073704 1.9708770 2.1107228
## 90 1.8922664 1.4767780 1.5060701 2.4361443 1.7773717 1.9435653
## 91 2.4409008 2.0859662 1.9008183 2.5653358 2.1866538 2.6199417
## 92 1.4340115 1.9995664 2.1898746 2.7660392 2.2678780 3.0144587
## 93 1.5488641 2.1141212 2.2083056 2.6561841 2.6109307 2.4087822
## 94 2.7518256 1.4016231 1.4446033 1.9599252 1.8651813 1.9809328
## 95 1.9009691 2.0758055 1.8324160 2.8091724 1.9794956 2.4175123
## 96 2.0015158 0.7399685 1.2595578 1.8711411 1.1563697 1.7380568
## 97 3.0070502 2.3071614 2.2143366 2.4677161 2.5890135 2.6101252
## 98 2.9090075 1.6320708 1.8294758 1.9308276 2.2007580 1.8925919
## 99 2.3795848 2.1420977 1.8579910 3.0131854 2.5692321 2.6609940
## 100 3.8323219 1.6584080 2.3561412 2.2085244 1.6399072 2.4177296
## 101 1.6269267 2.1318995 1.9140519 2.3555897 2.2415855 2.1427895
## 102 2.4087737 1.8822414 1.4610499 2.1789711 1.9517809 1.9839785
## 103 2.7050625 1.9574765 2.4361983 3.2141344 2.3020180 3.2592219
## 104 3.6181861 2.0118773 2.2705939 1.7591746 2.2268390 0.8815834
## 105 2.9142972 1.5145916 1.1830022 2.2086896 1.5173876 1.9118440
## 106 2.2099359 2.3557922 2.0400433 3.4230826 2.7505226 3.1160160
## 107 2.3134711 1.5788186 1.6111120 1.8846899 1.4604884 1.7105211
## 108 3.2477834 1.8032936 1.5536488 2.0864267 1.6147430 1.9006875
## 109 1.7500653 2.0399719 2.3276043 3.1289302 2.6113531 2.9755158
## 110 3.5408504 2.3369904 1.9934251 2.5180651 2.1635982 2.1625262
## 111 2.5314612 1.0770152 1.2991853 2.1254139 1.3099301 2.4665877
## 112 2.4067713 1.6850395 1.8655935 2.5585029 1.7697725 2.4026795
## 113 3.3740856 1.6300628 2.3407864 1.4812849 2.0306413 1.8575961
## 114 2.6963322 0.9834078 1.4703135 1.4312429 1.3078331 1.1878816
## 115 3.0643510 1.9014647 2.5027492 2.4394145 2.5622081 2.3267502
## 116 3.0240596 1.5065220 1.6344870 2.3516829 1.9055568 2.2693025
## 117 3.6755369 1.8502133 2.5954911 1.7542246 2.3617160 1.9337728
## 118 2.8500039 1.4176040 1.5998885 1.9114244 1.5168389 2.3537768
## 119 1.7999338 2.5408241 2.1246614 3.0391886 2.8924944 2.6776592
## 120 2.5460888 1.7150292 1.5072875 2.6377477 1.6486859 1.7953776
## 121 2.4651142 2.5992079 3.0127360 3.3815826 3.0958267 3.4852648
## 122 3.1879350 1.9297961 1.3045303 2.4927595 1.5287416 1.9774817
## 123 3.4283089 2.1279415 2.4428845 2.1673948 2.2583773 1.7962390
## 124 2.9100665 1.7274456 1.8935112 1.9302870 2.2576716 2.0230467
## 125 2.1233310 2.6634353 2.1986523 3.1870966 2.9033301 2.8120247
## 126 1.5446097 2.0320752 1.8483844 2.4523751 2.4620213 2.4065795
## 127 2.1626843 2.3633410 1.9594084 3.1318659 2.2573749 3.1468051
## 128 2.8485166 1.7224193 1.7666050 1.8905040 2.0177404 2.1394221
## 129 1.5602531 2.6990904 2.6481035 3.2804574 3.1175280 2.9928624
## 130 1.4705292 2.1408225 2.2811697 2.6094414 2.4612969 2.5827259
## 131 3.5537269 1.7183751 2.2520623 1.7532389 2.1548253 2.3498882
## 132 1.3250545 2.6843154 2.8638214 3.2161578 3.1217043 3.4073655
## 133 1.9627031 2.1616336 1.6653272 2.6741951 2.4839567 2.3165607
## 134 1.6752611 2.8781987 2.4295090 4.0163960 2.8835273 3.9396307
## 135 0.8484119 2.1767138 2.2805304 2.8042429 2.5527571 2.7547906
## 136 1.9509746 2.0147001 2.2181503 2.4418686 2.5916116 2.8024865
## 137 1.8066286 1.9403310 2.1306300 2.8637298 2.4320027 2.5177532
## 138 2.3057106 2.0683814 1.7647217 2.8683102 2.1548979 2.6341941
## 139 2.2869831 1.8962723 2.1287851 2.3867444 2.2299541 2.1576956
## 140 2.6552259 2.0143782 1.8259795 2.5410723 1.8702310 2.5906162
## 141 2.4004196 2.9927652 2.5043101 3.8988910 3.1463075 3.4327389
## 142 2.0827189 2.1552946 2.5411469 2.7750140 2.7374415 2.9602156
## 143 1.6822572 1.7943826 2.2305612 2.4869013 2.2689666 2.7339990
## 144 2.5615649 1.6598420 1.2313306 2.7379896 1.3567860 2.6671731
## 145 4.2766395 2.3640016 2.6162163 2.0126217 2.4357416 2.1913190
## 146 1.4708128 1.6046462 1.8347602 2.3103002 1.7730650 2.4526049
## 147 2.7918159 1.5671750 1.4842770 1.7466898 1.5743203 2.0740334
## 148 2.6276611 1.9715124 1.6303329 2.3286758 2.0913103 1.9175555
## 149 2.8234842 1.5596316 1.4175023 2.4638877 1.4758564 2.3791230
## 150 1.8277334 1.5224160 1.6022905 2.6841409 1.7437352 2.5039712
## 151 2.7448314 2.0450628 1.6425958 2.1202093 2.2538017 1.6981745
## 152 2.3554191 1.7290991 1.7348498 1.9617957 2.0390245 1.4954616
## 153 2.2760757 1.6581196 2.0415161 2.6733905 2.0752585 2.7505769
## 154 2.6341144 1.8448245 1.8976288 1.9664926 2.0204492 2.2924143
## 155 4.1913642 2.2303665 2.7142357 1.8082081 2.2433434 1.9149685
## 156 4.0969677 2.5816172 2.3511726 2.1215839 2.4275240 1.8732200
## 157 2.1657806 2.1071258 1.7263335 2.7420374 2.0898370 2.7266865
## 79 80 81 82 83 84
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## 80 2.8855024
## 81 3.8859095 2.3907640
## 82 3.1393851 1.7283507 2.2149195
## 83 3.0777762 2.3234872 2.3991937 2.2610835
## 84 2.3039520 1.8382776 2.5171273 2.2948058 2.4379577
## 85 3.3895221 2.1183165 1.2075519 2.0098922 2.0100376 2.6060113
## 86 2.5256536 2.1774471 2.4246764 1.6876633 2.5200419 1.8611007
## 87 2.3690750 1.6746904 2.5419123 2.3059993 1.9466137 1.6403821
## 88 2.0903166 1.8565787 2.6857383 1.6996592 1.7694748 2.1050569
## 89 2.8319899 1.1694318 2.0345260 1.5786265 2.6938212 1.7284202
## 90 2.4565574 1.8662092 2.2887688 1.5286300 2.0746995 2.0332622
## 91 2.7056307 2.1997202 2.6234434 2.1524331 1.7159396 2.8444733
## 92 2.0870075 2.1344218 3.6074034 2.3498752 2.6577552 2.2866583
## 93 1.2813005 2.2958398 2.8514460 2.3161249 2.2895577 1.7373805
## 94 2.7530647 1.0956121 1.7168506 1.5354286 2.1540027 1.6622562
## 95 2.8601510 2.6346404 2.9066731 2.4916186 1.4228532 2.7632271
## 96 2.6924722 1.3857888 2.1314807 0.8009101 1.8966137 1.7432482
## 97 3.3208894 2.1379065 2.8190303 2.5242504 3.1710894 2.1740007
## 98 3.1719559 1.5080828 1.9277190 2.1803133 2.3656688 1.8325397
## 99 2.1545609 1.7888658 2.3550829 2.5874781 2.1804542 1.4645501
## 100 4.2694316 2.1689703 2.5129931 2.1999373 2.2629284 2.9517035
## 101 2.0360578 2.5647201 2.7797627 1.9380998 2.2252853 2.3661078
## 102 3.1405756 2.1347266 2.2808302 2.2800345 1.7223617 2.6164568
## 103 2.5504223 1.9148110 3.1449388 2.4831423 2.0982601 2.1004779
## 104 3.9711427 2.6201927 1.3673726 2.1465877 2.4263978 2.6267871
## 105 3.7075608 1.6535421 1.8198768 1.9168913 2.1120259 2.3578974
## 106 2.1705457 1.8805924 2.8844625 2.7893597 2.6355410 1.5740655
## 107 3.1663297 2.3400773 2.4249688 1.8276392 1.5349900 2.7018335
## 108 3.8390057 2.1699378 1.7432219 1.9607246 1.6296594 2.9895512
## 109 1.6633817 1.9383758 3.1397853 2.5224338 2.5311243 1.2855878
## 110 4.4974739 2.6331642 2.2388802 2.3807814 2.8783056 3.1733554
## 111 3.1141486 0.7998651 2.4412337 1.4590351 2.0706589 2.2714138
## 112 3.3178828 2.1158922 2.7541441 2.2710272 2.1376447 2.0866754
## 113 3.6437888 2.0250377 2.4209475 1.3489073 3.0859536 2.6874847
## 114 3.0318694 1.7070065 1.6959178 1.4382366 1.5366877 1.9154294
## 115 2.9188226 2.0309823 2.4742432 2.7021647 2.2306560 1.5195714
## 116 3.4784043 1.1881736 1.9761004 2.0276570 2.4870159 1.7475437
## 117 3.7110681 2.2185889 2.1396757 2.3560119 2.4151750 2.1840977
## 118 3.5149901 1.4951472 2.5588345 1.8959428 2.2010325 2.6857019
## 119 2.2306525 2.4366712 2.8220847 2.3885573 2.9356476 2.3678631
## 120 3.3375656 2.3223411 1.8088056 2.0703069 1.2580298 2.1808922
## 121 1.9191010 2.6266893 3.7008593 3.1430928 2.3941456 2.6770891
## 122 4.1245586 2.2947410 1.8141853 2.0571429 2.0527596 3.0678426
## 123 4.0684230 2.8011241 2.1978996 2.5795441 1.9340171 2.9241636
## 124 3.2962099 1.5018079 2.1635910 1.7032383 3.0434115 2.0505960
## 125 2.2043940 2.6137735 2.8492009 2.5533762 2.6770199 2.7515414
## 126 2.1979487 1.9835574 2.7223423 2.0419721 2.5293119 2.3205458
## 127 2.7706103 2.4547472 3.2258889 2.5430602 1.8403170 3.1607248
## 128 3.4241996 1.6980862 2.4891659 2.0712489 2.7250514 2.4215368
## 129 1.2441085 2.7976914 3.4113006 2.8279481 2.8327664 2.2984912
## 130 1.9463324 2.5246594 3.2031564 2.2442958 2.1531045 2.7375126
## 131 3.6539638 1.6375337 2.4114842 2.2668896 2.4883970 2.6919621
## 132 1.0566084 2.7507826 3.9201838 2.9886171 2.7513576 2.3766610
## 133 1.8954782 2.0386795 2.3098867 2.2298467 2.2332904 1.8663585
## 134 2.6451675 2.6968329 4.0536397 3.1540126 2.9128145 3.2317564
## 135 1.6947936 2.4611341 3.3809681 2.4315336 2.3469641 2.5212995
## 136 1.9039301 1.7917989 3.0467492 2.4134986 2.2859365 2.1613505
## 137 1.9580266 2.1513165 2.7106389 2.4954877 1.7027109 1.6903995
## 138 2.9832329 2.2161154 2.6699898 2.4978723 1.5593471 2.9694825
## 139 2.3551149 2.3548436 2.4176503 2.1852768 1.2401837 2.2163036
## 140 3.7009064 2.3639626 2.7993119 2.3286450 1.7485309 3.3342160
## 141 2.5743166 2.9242829 3.2506509 3.3427815 2.2631602 2.9661441
## 142 1.6948946 2.0312635 3.2709503 2.2265902 3.0288174 1.4128353
## 143 1.5683149 2.0058328 3.1066496 2.1982092 1.7952492 1.9533529
## 144 3.5152681 1.7686339 2.6571536 2.1609178 1.8648013 2.8346979
## 145 4.6945481 2.6383850 2.0493309 2.4286146 2.8533531 3.3955605
## 146 2.6304607 2.0899925 3.0822978 1.8634174 2.0991819 2.3328329
## 147 3.1970397 1.7866229 2.2530547 1.8281326 1.6886137 2.7242244
## 148 3.1342729 2.2462176 1.8501899 2.1379677 1.4665347 2.7091964
## 149 3.8268507 1.7405113 2.3497631 2.0820810 1.9729364 2.6987977
## 150 2.0903778 1.7599264 2.7011102 2.1275402 1.4777930 1.5699395
## 151 2.9186078 2.2058656 1.7449726 2.3723148 1.7457031 2.2254828
## 152 2.3611679 2.1217392 1.9290441 1.4978889 2.2043336 1.7698595
## 153 1.9527632 1.6634658 2.8594207 2.2663253 1.9130794 1.3498767
## 154 3.2605577 2.0849364 2.6756917 2.2310653 1.9462541 2.9154018
## 155 4.6443040 2.8372407 2.2089469 2.3027478 2.7935722 3.2309350
## 156 4.5969842 2.9554047 1.9570655 2.5962430 2.7638199 3.4705452
## 157 2.7280602 2.2389140 2.7575299 2.3849720 1.4148628 2.6466323
## 85 86 87 88 89 90
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## 86 2.0612925
## 87 2.2301358 1.8217107
## 88 2.0940344 2.0697902 2.0879003
## 89 2.0318804 1.7633272 1.8500948 2.0880361
## 90 1.8176293 1.6409575 1.9164210 1.6706549 1.8829915
## 91 1.9758887 2.6476922 2.1239471 1.4283087 2.5095937 1.9929316
## 92 3.0674357 1.8227744 1.8197621 2.2010896 2.2849971 2.1554764
## 93 2.3391374 1.6157126 1.7205913 1.5728177 2.2248320 1.3857524
## 94 1.6525976 1.9548921 1.6784260 1.5992538 0.8843736 1.7326880
## 95 2.2426961 2.1559453 1.9315995 2.1995243 2.8964838 2.0125974
## 96 1.8147743 1.3274346 1.7112557 1.4763917 1.4535399 1.0070366
## 97 2.7887800 1.8256412 2.0467806 2.9781552 1.7215759 2.9152017
## 98 1.7666960 1.8812174 1.8427072 2.2249436 1.5729097 2.3777497
## 99 2.1305207 2.2311425 1.2214640 2.0195747 1.8368426 1.8278672
## 100 2.5299026 3.0861536 3.0752682 2.6313129 2.5564322 2.8943219
## 101 2.2308574 1.3182175 1.9032136 1.7993165 2.2593785 1.5334417
## 102 1.6026299 1.9202923 1.6783536 2.1679168 2.2553633 2.3075032
## 103 2.9179459 3.0497446 2.2865020 1.7736914 2.5177266 2.0216252
## 104 1.5569616 2.2053175 2.9228891 2.6398708 2.3740035 2.4662881
## 105 1.7137019 1.9916530 1.8423795 2.5482306 1.7762415 2.3005275
## 106 2.6622675 2.3299653 1.2343620 2.4215256 1.9801728 1.9694588
## 107 1.7986364 1.7991670 2.1538828 1.9676101 2.4451451 1.9983180
## 108 1.4074415 2.6199553 2.4245996 2.2059383 2.3660767 2.3982549
## 109 2.8209380 2.0680276 1.6215705 1.9813474 2.1896179 1.6738883
## 110 2.2756004 2.3688509 2.7068248 3.3365825 2.5192583 3.0175861
## 111 2.0892996 2.2399256 1.7694586 1.7596936 1.4717513 1.9992423
## 112 2.5533383 1.8146259 1.7988477 2.6093781 2.3426164 2.4405728
## 113 2.3361692 2.2124302 3.1012024 2.3438202 1.7900623 2.1874502
## 114 1.4492123 1.6773355 1.9972984 1.6313108 1.6599074 1.7092041
## 115 2.3373451 2.3722167 2.1917747 2.1672633 2.2085815 2.5078631
## 116 2.0769586 2.0965074 1.7993726 2.4877423 1.3531525 2.3572171
## 117 2.2481889 2.5298072 2.7728219 2.3407942 2.2193696 2.8640534
## 118 2.1236667 2.3144716 2.1369036 2.2045773 1.9033712 2.5305679
## 119 2.3530075 1.7579179 1.8426293 2.2946003 2.2354322 1.6629569
## 120 1.6774779 2.0095348 1.8541743 2.2616646 2.4720018 1.7427978
## 121 3.0725894 3.2149407 2.6183731 1.7121940 3.1374228 2.3598587
## 122 1.6226289 2.4585629 2.3949570 2.7900785 2.4104518 2.3879630
## 123 1.9619244 2.5577952 2.8083943 2.6367736 2.9854016 2.8923636
## 124 2.0897991 1.6362960 2.1762407 2.4154715 1.0483737 2.2005035
## 125 2.2654193 2.3982323 2.1823518 2.1021144 2.5410373 1.5758470
## 126 2.0224781 1.5678599 1.6518201 1.7752705 2.0335466 1.6689212
## 127 2.5306155 2.8735352 2.0826849 1.9676360 2.8795794 2.2145416
## 128 2.1791825 1.8032838 2.0833716 2.5540228 1.6079459 2.5680398
## 129 2.8534400 2.0929274 2.1458658 2.1406824 2.7258074 1.7036336
## 130 2.3680212 2.1216059 2.2503609 1.3939495 2.7319925 1.5487386
## 131 2.1348339 2.8032498 2.6878240 2.1830236 1.9507994 2.8264580
## 132 3.2900910 2.2764670 1.9876056 2.0059954 2.8890417 2.4406811
## 133 1.9094150 1.7081483 1.2851663 1.8260976 1.8128430 1.5111020
## 134 3.4241068 3.0299434 2.1145943 2.8424458 3.1592673 2.4473905
## 135 2.5511619 1.8811190 1.9714273 1.6999268 2.6699934 1.6311402
## 136 2.4083967 2.1883100 1.6364762 1.3962896 2.1660095 2.2413575
## 137 2.1836156 2.0882304 1.5694085 1.5598557 2.4420353 1.5839351
## 138 1.8159539 2.7151835 2.0672955 1.8909321 2.7496025 1.9661703
## 139 1.8845334 2.2626598 2.0300718 1.1136887 2.5727918 1.7303943
## 140 2.0258808 2.7145042 2.3492693 2.2433316 2.8636814 2.5713343
## 141 2.6523439 3.1523794 2.1405648 2.4838244 3.2216822 2.2566384
## 142 3.0594767 1.8326622 1.9682156 1.9888328 1.8261846 1.9831389
## 143 2.5154001 2.1470111 1.7321685 0.8715473 2.3289139 1.8371392
## 144 2.2002149 2.5406243 1.9201548 2.4439613 2.3276844 2.2562633
## 145 2.2120011 3.1505271 3.3641760 2.9872244 2.6663142 3.3363110
## 146 2.5323619 1.5083126 1.7247586 1.9487184 2.3378670 2.0018589
## 147 1.6887804 2.3182700 2.0737006 1.7305701 1.9777446 2.2843357
## 148 1.1232038 2.3307388 2.0275909 1.7691454 2.4384089 1.9441621
## 149 2.0307670 2.3825638 1.9752182 2.5283730 2.2580966 2.4879248
## 150 2.3500301 1.9463424 1.2272221 1.6752582 2.0310274 1.5573532
## 151 1.3404080 1.9088905 1.6834275 2.0805746 2.0407549 2.2493973
## 152 1.7326613 1.2835298 1.9787283 1.6492380 1.5768031 1.1448121
## 153 2.6124359 2.2515977 1.5985985 1.5977867 1.8969212 1.8811593
## 154 1.9802548 2.3392862 2.1772358 1.9840580 2.4442468 2.5671095
## 155 2.4233590 2.8908080 3.4413536 3.0207734 2.7415060 3.2567159
## 156 2.0438067 2.8140539 3.1667435 3.2227893 2.6913343 3.2763487
## 157 2.2042728 2.4358765 1.5445981 1.8342948 2.5788877 2.2878533
## 91 92 93 94 95 96
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## 92 2.7295664
## 93 2.1177809 1.9030912
## 94 1.9407884 2.5190581 2.0490977
## 95 2.0475861 2.0553843 2.0616280 2.6857048
## 96 2.0153440 1.9169197 1.7500807 1.3395126 2.0448175
## 97 3.3926662 2.2075725 2.8345465 2.2108253 2.9779063 2.3042798
## 98 2.5968472 2.5305025 2.4222691 1.4965938 2.5535737 1.8469041
## 99 2.2192305 2.4582285 1.5495005 1.4976108 2.4932355 1.9939553
## 100 2.9635996 3.2872478 3.5455417 2.3574034 2.9259557 2.2623948
## 101 2.0326369 1.8268516 1.2822606 2.2241811 1.7271427 1.6678747
## 102 2.0242602 2.2556745 2.3632301 2.0703700 1.4487322 1.9810291
## 103 2.1595466 2.7016608 2.2159798 2.0631226 2.7860644 2.0657062
## 104 2.9877112 3.4316019 2.9454996 2.2228468 2.7359430 2.1109270
## 105 2.5737453 2.5527289 2.8115301 1.7665720 2.2212551 1.6938227
## 106 2.6632055 2.2595418 1.7262908 1.8944192 2.7247035 2.1452052
## 107 2.0325202 2.1638026 2.3107558 2.3045608 1.1182418 1.6588736
## 108 1.7687930 3.1477279 2.9641362 1.9308523 2.1544768 2.0073064
## 109 2.6039544 1.8848554 1.2017919 2.0950158 2.5192344 1.8312093
## 110 3.2949383 3.2105937 3.5551703 2.6306523 2.7822884 2.3892169
## 111 1.8738949 2.1531886 2.5113424 1.2760862 2.4207164 1.3486320
## 112 2.9490455 1.9459940 2.5703043 2.4256655 1.8784503 1.8344700
## 113 2.9341500 2.9181241 2.8964181 1.9968638 3.2270586 1.6920049
## 114 2.1826709 2.3532750 2.1422900 1.4280920 1.9563722 1.2126624
## 115 2.9916378 2.7547538 2.3387669 1.9511151 2.7601320 2.2067451
## 116 2.8332126 2.6171015 2.7255017 1.4014769 2.8460300 1.7128610
## 117 3.0908189 3.2504311 3.0240237 1.9548748 3.1112762 2.2424476
## 118 2.3029299 2.2684108 2.9089678 1.8895682 2.2983754 1.8524866
## 119 2.2655479 2.4134961 1.4235266 2.1626886 2.5996686 1.9782663
## 120 2.2494369 2.7426207 2.2231667 2.1172026 1.5555012 1.6049682
## 121 2.1338998 2.7464820 1.9248789 2.6816466 2.6944273 2.6736619
## 122 2.4010965 3.0661473 3.1336443 2.2723113 2.1042582 2.0162125
## 123 2.8261607 3.3465990 3.1365626 2.6551552 2.2714687 2.4124854
## 124 2.8987959 2.5461722 2.5504995 1.4222300 3.1265719 1.6085715
## 125 1.7280451 2.7530696 1.5053460 2.2632572 2.4958969 2.2134960
## 126 1.7724564 2.0120593 1.4487284 1.9044938 2.1733693 1.6717130
## 127 1.0201892 2.4367067 2.3260187 2.4913733 1.7370080 2.3024180
## 128 2.8901089 2.1476698 2.7844855 1.9424755 2.5592493 1.9255888
## 129 2.5050183 2.1438806 0.7509468 2.6340163 2.4131379 2.2844895
## 130 1.5459832 2.0578359 1.3200433 2.4486521 1.7478675 1.8943724
## 131 2.5704160 2.9933436 3.1287000 1.7477492 3.0170480 2.2655079
## 132 2.5721358 1.5753696 1.4105607 2.7797474 2.3849517 2.4881071
## 133 1.7733106 2.1873913 1.0790679 1.5929351 2.1205442 1.7662908
## 134 2.4719468 2.0289035 2.4330032 3.1065757 2.3222677 2.6884436
## 135 2.0410459 1.5961201 1.1498968 2.5406690 1.7278838 1.9290541
## 136 1.6746401 1.9608467 1.6684990 1.8366515 2.3009763 2.0255579
## 137 2.0656469 2.2725341 1.1524401 2.0101486 1.9503780 1.8215490
## 138 1.1128378 2.6766181 2.2389056 2.2810174 1.5697696 2.1392932
## 139 1.3161731 2.6570643 1.5441882 1.9527035 1.8004450 1.8092660
## 140 1.7158966 2.7629488 2.9578513 2.4982116 1.7687150 2.2191652
## 141 2.0290351 3.0871451 2.0659632 2.7493124 2.3610782 2.8061810
## 142 2.8556251 1.8632067 1.5362056 1.9499839 3.0637091 1.8148505
## 143 1.6606905 1.8297813 1.3091358 1.9366509 2.0329030 1.7562108
## 144 2.0694746 2.2583640 2.8029719 2.2337906 1.7174822 1.9111575
## 145 3.0363955 3.9485745 3.8699362 2.4014804 3.4389175 2.6842760
## 146 2.2580011 1.2672553 1.9850581 2.3381778 1.5243154 1.5008566
## 147 1.5633648 2.4386884 2.5780006 1.6772491 1.9779882 1.8342557
## 148 1.1284736 2.9571642 2.1975501 1.8530056 1.8186814 1.9152688
## 149 2.3945721 2.5723282 2.9950631 2.0999792 2.0919301 1.8643457
## 150 2.0783173 1.5685353 1.4825752 1.8420764 1.5662995 1.5053078
## 151 2.0555773 2.6121042 2.1176117 1.7442225 1.8671658 2.0546968
## 152 2.1928232 2.3570346 1.3949382 1.4712800 2.3218873 1.2445576
## 153 2.3097635 1.8702625 1.6769677 1.6984647 2.3207777 1.7500592
## 154 1.8171399 2.3889002 2.6397235 2.1903173 1.8403162 2.1068616
## 155 3.3749268 3.7616210 3.7964103 2.6224743 3.2933237 2.5535245
## 156 3.1713741 3.6878814 3.7343832 2.6284130 2.9758254 2.7595500
## 157 1.1698743 2.3119340 2.1627842 2.1401068 1.4839130 2.0826136
## 97 98 99 100 101 102
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## 98 1.5558003
## 99 2.6460920 2.0499829
## 100 3.0019081 2.2077946 3.2649273
## 101 2.6898331 2.6276045 2.2223133 3.4571462
## 102 2.1314955 1.6178241 2.2918432 2.5268894 2.0055996
## 103 3.6067268 2.8655082 1.9219987 2.8542925 2.8247561 3.0810511
## 104 2.7041531 1.8099485 2.9353330 2.0631474 2.8042932 2.2070686
## 105 1.7465986 1.2375890 2.4135500 1.8887759 2.5909127 1.3556808
## 106 2.6475395 2.3897831 0.7882805 3.6138929 2.4012448 2.6452772
## 107 2.5421417 2.0847178 2.6967630 2.2453026 1.7309560 1.1230621
## 108 2.9183412 2.0145068 2.7138879 1.8174195 2.6162227 1.5150245
## 109 2.7994819 2.4273214 1.4151453 3.4583985 2.1705898 2.7804032
## 110 2.0796526 1.9810877 3.3840155 2.4310399 3.0776220 1.9275399
## 111 2.2606636 1.7345782 2.1839658 1.9587878 2.4473184 1.8784138
## 112 1.7547604 1.7175753 2.5974078 2.3566632 2.4380543 1.6923178
## 113 2.6691590 2.1977639 3.1521952 2.1636057 2.7844595 2.8396323
## 114 2.2198059 1.4568866 2.1110936 1.6369983 2.0210207 1.5606814
## 115 2.4810935 1.5618756 1.8792539 2.4382662 2.8986815 2.3545886
## 116 1.6336681 1.0180959 2.0560220 2.0891805 2.8735370 2.0620638
## 117 2.4742886 1.5074660 2.7234071 1.7259068 3.1798989 2.4073493
## 118 1.9962794 1.5467204 2.7003259 1.7209512 2.6529473 1.4403918
## 119 2.8751529 2.6331583 1.9530223 4.0172621 1.6339535 2.5626045
## 120 2.8251695 2.0871935 2.1595061 2.4085806 2.1405141 1.7617934
## 121 4.0111641 3.2024402 2.1524043 3.6302089 2.7232445 3.1057175
## 122 2.6786425 2.1010859 2.8923448 2.0755090 2.6709703 1.5696880
## 123 2.8940941 1.9107805 3.1391646 2.0010337 2.9814697 1.7711469
## 124 1.5797627 1.3747524 2.3857105 2.6853908 2.5749840 2.3235992
## 125 3.5400135 3.0291917 1.9367553 3.9965165 1.7164727 2.6956641
## 126 2.5276418 2.1130841 1.9930116 3.4543853 1.5288912 1.9416723
## 127 3.5194088 3.0058867 2.4655072 3.2716056 2.0990411 2.0850686
## 128 1.0873422 1.1897292 2.6361791 2.2991227 2.5623456 1.5627316
## 129 3.3431109 3.0709374 1.9387363 4.1821209 1.5628457 2.8910054
## 130 3.3994735 2.8528868 2.3705500 3.4676622 1.3786540 2.2857046
## 131 2.4902663 1.5389887 2.7073334 1.5433185 3.1849801 2.1244630
## 132 3.0591838 2.9972848 2.2427923 4.0769546 1.8510234 2.6894761
## 133 2.5345951 2.1394351 1.1805629 3.4471600 1.3840862 1.9992484
## 134 3.5665658 3.4846546 2.6287799 4.1236894 2.4879422 2.8647765
## 135 3.1010333 2.7604010 2.2022728 3.6396121 1.3450047 2.2355317
## 136 2.5567893 1.9447128 1.8627351 3.1696882 2.0969633 1.9547506
## 137 3.0639728 2.3152128 1.2503120 3.1976039 1.9343261 2.2334349
## 138 3.4187947 2.5106695 2.2097289 2.8736661 2.2685130 1.7336358
## 139 3.3013334 2.3719331 1.9101250 2.8524831 1.8309091 2.0540369
## 140 3.1129840 2.4097716 2.9515631 2.4558552 2.5626403 1.3598623
## 141 4.0103102 3.3327219 1.7797731 4.0806270 2.4891446 2.7642913
## 142 2.4771274 2.5206765 1.9358225 3.6030668 2.0953299 3.0160194
## 143 2.9700526 2.4278934 1.7668608 3.0692436 1.7423955 2.2243002
## 144 2.5826299 2.1422378 2.5667379 2.1381022 2.5400892 1.5285167
## 145 2.9975269 2.0950757 3.5721326 1.7093687 3.6402830 2.5126822
## 146 2.1814528 2.1348047 2.5871788 2.8064085 1.6580907 1.6621980
## 147 2.4642368 1.8202424 2.4325001 1.9599753 2.2154890 1.1981878
## 148 3.0995840 2.0882937 2.1402035 2.6823785 2.0774775 1.4828981
## 149 2.2417329 1.6303180 2.6823506 1.8465942 2.7889643 1.4107697
## 150 2.5100903 2.1535784 1.4477704 2.6628772 1.7610436 1.9344124
## 151 2.1822959 1.4624728 1.8466253 2.6564797 1.9882118 0.9885411
## 152 2.5479108 2.1812010 1.8035863 2.9576149 1.2821859 2.2428505
## 153 2.6152613 2.2223245 1.3767369 2.7155118 2.1727551 2.4036982
## 154 2.4633872 1.7640621 2.7427970 2.2970651 2.3797319 1.0514631
## 155 2.8731517 2.2172325 3.6934833 1.5098973 3.4846809 2.5880124
## 156 2.6315716 2.1814222 3.5115367 2.1927127 3.2196295 1.9883422
## 157 2.8720784 2.3284702 2.1623648 2.9251226 1.9573505 1.4242836
## 103 104 105 106 107 108
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## 104 3.4241898
## 105 3.0254035 1.8220864
## 106 2.0905243 3.4191259 2.6432993
## 107 2.9456833 1.9879428 1.6766062 3.0215416
## 108 2.8962265 1.8840872 1.5096737 3.2069991 1.5316173
## 109 1.7419067 3.2881376 2.8263209 1.2121184 2.7991941 3.2973465
## 110 4.0263929 2.0012784 1.1147577 3.5905331 2.0730306 1.9997164
## 111 2.1149542 2.6233453 1.5082968 2.3444732 1.9979538 1.7264794
## 112 3.0064335 2.3553302 1.3991284 2.6562286 1.6414591 2.3907857
## 113 3.0619705 2.0181338 2.2759469 3.3785535 2.4446745 2.4638868
## 114 2.4019640 1.3444216 1.4056313 2.5347420 1.3236854 1.5217414
## 115 2.4310930 2.2399319 2.2642433 2.2771954 2.5634114 2.7236184
## 116 2.6809569 2.1300826 1.1182501 2.2133921 2.4042020 2.1795231
## 117 2.9870055 1.5896332 2.0138274 3.1895355 2.4528408 2.2607392
## 118 2.8754281 2.3753415 1.1995713 2.9292216 1.6350186 1.5632146
## 119 2.9134688 3.2546531 2.8155567 1.9522031 2.7225635 3.0687376
## 120 2.5546919 1.8525018 1.6754453 2.5116964 1.5471902 1.7613245
## 121 1.5442304 3.8179431 3.6129266 2.4181856 3.0562689 3.3201642
## 122 3.2818076 1.9139181 1.1137275 3.2053753 1.5397466 1.0746479
## 123 3.4616811 1.4186716 1.8016446 3.6199900 1.6443870 1.6824325
## 124 3.1078163 2.2297713 1.6796261 2.4890047 2.5435507 2.5221865
## 125 2.5610150 3.4028341 3.1372027 2.1427840 2.7449775 2.9128594
## 126 2.7138769 2.9158812 2.3514102 2.1222607 2.1253820 2.5194745
## 127 2.3503012 3.5362388 2.7521317 2.6970416 2.0881538 2.1967434
## 128 3.3294210 2.2213342 1.1562219 2.7708728 1.9176981 2.1930763
## 129 2.5625361 3.5795927 3.3879186 1.9228894 2.8281737 3.5414202
## 130 2.3857922 3.1750205 2.9705169 2.5894578 1.9826606 2.6785515
## 131 2.8039357 2.2284691 1.8593349 3.1214625 2.3478264 1.8478157
## 132 2.6468056 3.9073894 3.3666690 2.1816600 2.7613905 3.5958002
## 133 2.3807740 2.8144184 2.3843208 1.4845252 2.2777786 2.5102702
## 134 2.6941315 4.3631988 3.2613054 2.3409230 2.9415185 3.4498269
## 135 2.5065560 3.3187293 2.9128418 2.2491409 2.0760468 2.9828742
## 136 2.2783665 3.1455896 2.4980934 2.1156328 2.3077912 2.5428250
## 137 1.7791730 2.8512980 2.6272043 1.5819218 2.2938415 2.7149170
## 138 2.3044418 2.9114345 2.3559247 2.5905096 1.8230760 1.7608670
## 139 1.9498113 2.4984821 2.5883447 2.4576086 1.8895382 2.0601960
## 140 3.0408770 2.7570264 1.9083885 3.2782449 1.4405331 1.3150967
## 141 2.3447802 3.8288712 3.3602889 2.0322378 3.0036050 3.0937638
## 142 2.3025002 3.3861969 2.9714528 1.7577582 3.0139936 3.4932468
## 143 1.6560612 3.1337031 2.7461890 2.0236433 2.1659033 2.6449714
## 144 2.6223441 2.7304627 1.4330759 2.7084851 1.5708337 1.6052189
## 145 3.7407092 1.7775173 1.9350087 4.0484870 2.5550440 1.6028293
## 146 2.7745061 2.7895958 1.9690095 2.6215181 1.3864992 2.4010101
## 147 2.6527636 2.2721698 1.5906027 2.8550387 1.3692680 1.0471044
## 148 2.6051772 2.1884832 2.0042508 2.6967593 1.6444122 1.2102424
## 149 2.9383860 2.2854769 0.8133563 2.8861038 1.6441331 1.4380310
## 150 1.6493107 2.7846194 2.1468655 1.5679997 1.8779657 2.4363558
## 151 2.9446347 1.9025524 1.6341359 2.4011231 1.6110296 1.6588721
## 152 2.4588998 2.1106719 2.3049135 2.1348484 2.0403502 2.3964026
## 153 1.3620929 2.9798565 2.4919969 1.5349153 2.4142710 2.7484996
## 154 3.0220010 2.4479499 1.7089677 3.1046521 1.3359088 1.4554513
## 155 3.8023821 1.3986285 1.9819908 4.1228183 2.3309341 1.9537993
## 156 4.1090412 1.6349234 1.6978906 3.9596397 2.1099185 1.6254233
## 157 2.4591140 2.9985921 2.1686314 2.5033360 1.6929769 1.7898147
## 109 110 111 112 113 114
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## 110 3.7164867
## 111 2.3823483 2.3767581
## 112 2.4435308 1.8902342 2.0667218
## 113 3.0286113 2.6040489 2.0571726 2.7340303
## 114 2.3972148 2.1308413 1.6449092 1.7470222 1.8283329
## 115 2.1443722 3.1343616 2.4124589 2.1951563 2.8259325 1.6317208
## 116 2.4090606 1.9709895 1.4835475 1.7277972 2.2221311 1.6398448
## 117 3.0454463 2.5796448 2.3104177 2.3296725 2.2753157 1.4087139
## 118 2.9433631 1.8720572 1.0719375 1.7542302 2.1872594 1.6035006
## 119 1.9333229 3.3603798 2.5765892 2.9394427 3.0337898 2.7003052
## 120 2.4252712 2.2538033 2.2410381 1.7527840 2.7844362 1.4519292
## 121 1.9484633 4.5814132 2.8043031 3.4631582 3.6354623 2.8353399
## 122 3.3549630 1.3467973 1.9471357 2.0340771 2.5329577 1.7560303
## 123 3.4319118 2.0054555 2.6068730 1.9877976 2.8061735 1.6283257
## 124 2.5346990 2.1396106 1.7389152 2.2704571 1.6708800 1.8843116
## 125 2.1701247 3.8147969 2.6829592 3.3872299 3.2346367 2.7550707
## 126 1.9457816 2.9348925 1.9939401 2.4653263 2.6448772 2.2714339
## 127 2.6957852 3.4732601 2.0803993 2.9085646 3.4277936 2.5683989
## 128 2.8437369 1.6209575 1.6692804 1.5881427 2.1273419 1.6954421
## 129 1.4604072 4.1050993 3.0310036 3.1061776 3.4141631 2.8040383
## 130 2.0893738 3.6250358 2.4243884 2.8489166 2.9291649 2.3256918
## 131 3.1422569 2.5983419 1.5888032 2.5491454 2.1174096 1.6489692
## 132 1.7116484 4.1068452 2.8306400 2.8286432 3.6900280 2.8777217
## 133 1.6791886 3.1247363 2.1857912 2.5675101 2.8879469 2.0869086
## 134 2.3419863 4.0003048 2.6431434 3.0497915 3.9517723 3.3464504
## 135 1.7429072 3.5969666 2.4793313 2.5781613 3.1111646 2.4182692
## 136 1.8936361 3.3044819 1.8195332 2.4893072 2.9105320 2.2373719
## 137 1.2649551 3.5218072 2.3716366 2.4259666 3.1727661 1.9789767
## 138 2.5794327 3.1332550 2.0152526 2.6720473 3.1391382 2.1706385
## 139 2.1183818 3.3362769 2.2703980 2.6198003 2.9005640 1.7471303
## 140 3.2716186 2.3802817 1.8091789 2.3304052 3.0257182 2.1036484
## 141 2.3275703 4.2305978 3.0039522 3.4741685 4.1461730 3.0163788
## 142 1.2650701 3.7063917 2.3705826 2.7164984 2.7176008 2.4897733
## 143 1.5530181 3.6096755 1.9970897 2.5071268 2.9586370 2.0188325
## 144 2.7806726 2.1645977 1.4057649 1.7712163 2.7297774 1.9340469
## 145 4.0621290 1.9957165 2.3505133 2.8948154 2.2888625 2.0760385
## 146 2.1920721 2.4394384 1.8444069 1.3818745 2.5935821 1.9236094
## 147 2.9260386 2.2723324 1.3019006 2.2106087 2.3598188 1.4027326
## 148 2.7393885 2.6180455 2.0056172 2.5657483 2.7941056 1.7458941
## 149 2.9499456 1.4782963 1.3853459 1.4677953 2.5578302 1.7389152
## 150 1.3805082 3.0749481 1.8650210 1.8176386 2.8569737 1.6258691
## 151 2.6283572 2.2770291 2.1562058 2.0632939 2.8331694 1.4187860
## 152 1.9977334 2.9015237 2.2184503 2.5064193 2.1233051 1.4715346
## 153 1.3388033 3.4832385 1.9296405 2.2734221 2.8470065 1.8075432
## 154 3.0047273 2.2191196 1.6758697 2.0254950 2.6207048 1.7975422
## 155 3.9901360 1.9231374 2.5957887 2.5712536 2.1418402 1.8126751
## 156 4.1247315 1.4662175 2.6559127 2.6158216 2.6589040 1.9554762
## 157 2.5344894 2.8585451 1.8657957 2.2614909 3.2610763 2.1155151
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## 116 1.7969045
## 117 1.3783504 1.7450771
## 118 2.4476352 1.6173796 2.1413946
## 119 3.1725261 2.7946563 3.6004920 3.0791285
## 120 2.2657559 2.1230467 2.3995821 2.3520848 2.5498856
## 121 2.6580916 3.4227361 3.4508352 3.2982248 2.8898698 3.0361924
## 122 2.9834918 2.0627074 2.6387536 1.6709609 3.0416892 1.6143474
## 123 2.2891518 2.3537785 1.7689973 2.1232857 3.5556755 1.7332223
## 124 2.3797015 1.2800428 2.1687233 1.9506230 2.3215715 2.5966837
## 125 3.3276153 3.2079197 3.7913219 3.2437147 1.1735742 2.6034403
## 126 2.8167306 2.4228759 3.1233584 2.3371018 0.9899552 2.3543958
## 127 3.3692380 3.1494419 3.6431979 2.4273160 2.4844912 2.4436807
## 128 2.3066106 1.3904604 2.1063557 1.1128861 2.8612028 2.4937247
## 129 2.9711825 3.3137673 3.7451609 3.4720626 1.4773955 2.7508504
## 130 2.9973320 3.1936290 3.3919844 2.7518699 1.8593857 2.4033931
## 131 2.0260251 1.7515242 1.5162438 1.3095671 3.5097821 2.7699709
## 132 2.8569482 3.2754429 3.6088143 3.1358597 2.1947813 3.0600890
## 133 2.5027210 2.3801388 3.0062776 2.6195705 1.0914560 2.0817343
## 134 3.7970276 3.4348400 4.4262365 3.0939441 2.3900815 3.0822737
## 135 2.8337133 3.0460693 3.4372369 2.7474085 1.7510059 2.4704205
## 136 2.3408817 2.3851823 2.7587526 2.1221458 2.0267387 2.6298954
## 137 1.8163238 2.4821144 2.6997165 2.7835187 2.0710331 1.8434291
## 138 2.8383522 2.7587650 3.1501789 2.2082175 2.4663102 1.9725200
## 139 2.2380986 2.7172272 2.5392171 2.6018324 2.2886896 1.6953603
## 140 3.0780366 2.6145523 2.9273619 1.5577515 3.0262767 2.1247634
## 141 3.1519104 3.4329869 3.9360403 3.4916402 2.3623190 2.5672516
## 142 2.4860162 2.4694607 3.0163628 2.9711053 1.9505260 2.9371602
## 143 2.1878396 2.6340910 2.7444617 2.4445226 2.2179010 2.3547317
## 144 2.8358375 2.0563540 2.8870701 1.2592070 2.9123317 1.9440978
## 145 2.9608506 2.2501211 1.8581462 2.0010545 3.9350928 2.7447438
## 146 2.6933873 2.3294913 2.8404464 1.8136326 2.2628970 2.0362533
## 147 2.4765810 2.0822150 2.2158571 1.0459240 2.8409896 2.1315802
## 148 2.6064665 2.4413973 2.6007043 2.1477483 2.2753467 1.5788253
## 149 2.5520655 1.5451804 2.3324981 1.0306873 3.0175887 1.8070656
## 150 1.9184451 2.1521134 2.5980101 2.2117374 2.3278530 1.7100723
## 151 1.9680354 2.0110145 2.0976297 1.9615598 2.4518976 1.7039454
## 152 2.2950422 2.2926512 2.4612471 2.5987787 1.7782341 1.8978222
## 153 1.6747752 2.1506830 2.4382460 2.3951839 2.6109511 2.2789849
## 154 2.6321091 2.2924441 2.4393796 1.1559237 2.8578675 2.2504829
## 155 2.7778581 2.3254430 1.5881710 2.1553989 4.0738694 2.5783580
## 156 3.0608861 2.4450674 2.2368329 2.0491711 3.8090661 2.5188616
## 157 2.8060468 2.5882868 3.0005457 2.0134574 2.3763106 1.9435045
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## 122 3.8249774
## 123 3.6887124 1.8580134
## 124 3.6251678 2.4372923 2.7979562
## 125 2.3516076 3.0944260 3.6901867 2.9364816
## 126 2.5918979 2.6075814 2.9805077 2.0201082 1.4887012
## 127 2.2751978 2.5495991 3.2097001 3.3196379 1.9751033 2.0321752
## 128 3.6760521 2.0045859 2.3075114 1.3848133 3.3203845 2.2700295
## 129 2.0958196 3.6334851 3.7932085 3.0751459 1.4449195 1.7533145
## 130 1.8610745 2.9696057 3.1084976 2.9778656 1.5226541 1.4649134
## 131 3.1879451 2.3596148 2.2673320 2.0957491 3.5211732 2.8408871
## 132 2.0719672 3.8093203 3.7237403 3.1819555 2.3707538 1.9473150
## 133 2.3844385 2.6522803 3.0679958 2.2459525 1.1699862 1.2212617
## 134 2.6728167 3.3550812 4.1659331 3.5477859 2.2771022 2.2431619
## 135 1.9712761 3.0929180 3.2213072 2.8762596 1.7363332 1.3801623
## 136 1.9917140 2.9670343 2.9210387 2.3475010 2.1611050 1.3274818
## 137 1.5910132 2.9575026 2.7752900 2.7565977 1.9754128 1.9193814
## 138 2.1512247 2.1151665 2.5753264 3.0422375 1.9823955 1.9310962
## 139 1.7988259 2.6200234 2.3337800 2.8775488 1.9453159 1.9499004
## 140 3.1464873 1.6198306 2.0816661 2.8969692 2.9282964 2.2864018
## 141 1.9592875 3.3372951 3.7214850 3.7131803 1.6837639 2.4281378
## 142 2.6071552 3.6091917 3.7237620 2.1329875 2.4413748 1.9981360
## 143 1.3757488 3.0827957 2.9603683 2.7298256 2.0803377 1.7751478
## 144 3.1157719 1.3716641 2.4069241 2.5778860 2.8891525 2.3340829
## 145 4.3099297 1.9967750 1.8867792 2.4580697 4.0487905 3.3671749
## 146 2.9309790 2.3111520 2.4607144 2.3054355 2.6698186 1.6506161
## 147 2.8828241 1.6505115 2.0673331 2.2871207 2.7179069 2.1594591
## 148 2.6471929 1.7582948 2.0037491 2.6020114 2.0023074 1.8141512
## 149 3.4955722 1.1808928 1.8250482 2.1547685 3.2524606 2.4017949
## 150 2.0110015 2.5331281 2.7181438 2.5657488 2.2890646 2.0906667
## 151 2.9751313 1.9180483 1.8491150 2.2717945 2.5076968 2.0526930
## 152 2.7361994 2.5274056 2.7611879 1.9736545 1.8577950 1.8376592
## 153 1.8313172 3.0096240 3.0514351 2.5612877 2.5384490 2.3732596
## 154 3.0249210 1.8523847 1.8766276 2.4379190 2.9217284 2.0191055
## 155 4.3948007 2.1123174 1.6374923 2.5420302 4.2494582 3.5512450
## 156 4.5148746 1.6153655 1.7995046 2.6070755 3.9434048 3.3350375
## 157 2.5002947 2.1730531 2.5002295 2.8899654 2.2334779 1.8309595
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## 128 3.0499895
## 129 2.5482769 3.3328808
## 130 1.6165695 2.9903587 1.4965568
## 131 3.0292294 1.7367215 3.7592905 3.1432669
## 132 2.4388302 3.0981876 1.4889823 1.7432359 3.5360652
## 133 2.0417668 2.5048312 1.4441686 1.7320486 2.9022689 1.9695971
## 134 1.7499152 3.3632444 2.3048332 2.1634998 3.8771935 2.2310274
## 135 1.9266336 2.8063673 1.2138253 0.8187221 3.2446630 1.2704166
## 136 1.9494050 2.3007613 2.1417258 1.7253087 2.3458261 1.6334081
## 137 2.2687754 2.8664426 1.5949734 1.7164176 2.8903148 1.7972355
## 138 1.1324784 2.7837659 2.5661439 1.6584125 2.5992006 2.7097264
## 139 1.8625003 2.9369557 2.1008515 1.4593327 2.6575046 2.2637306
## 140 1.7006040 2.3253186 3.4179001 2.3263943 2.3338307 3.1683088
## 141 1.9276624 3.7585531 2.0549245 2.1183486 3.7136494 2.5022616
## 142 3.0756910 2.7060877 1.8439721 2.3790936 3.1356981 1.8176090
## 143 1.8413594 2.7248297 1.7751633 1.3674651 2.6245695 1.3055164
## 144 1.8299797 1.9219748 3.2244629 2.5310598 2.2290841 3.1179350
## 145 3.6283592 2.3191010 4.5408433 3.7995054 1.7281657 4.5194908
## 146 2.1318809 1.8860039 2.4252877 1.8344876 2.7320618 2.0156686
## 147 1.8475775 1.7385648 3.1424565 2.2846029 1.4664797 2.9237938
## 148 1.7364956 2.5444116 2.7029670 1.9197416 2.3783535 2.9319668
## 149 2.4549619 1.5406181 3.5457168 2.8858323 1.9483952 3.3612931
## 150 1.9809993 2.3590248 1.9447199 1.9005705 2.5870492 1.8657701
## 151 2.4034690 1.8842724 2.7119535 2.4210889 2.1264549 2.7429448
## 152 2.6314830 2.4173588 1.8971958 1.9561392 2.7073416 2.4812095
## 153 2.4107345 2.5303217 2.1517923 2.2554896 2.4237605 1.9652552
## 154 1.9909443 1.7208641 3.1950934 2.2468443 1.8196470 2.8366736
## 155 3.8721250 2.2839398 4.4784077 3.8156225 2.0144236 4.4487819
## 156 3.5406312 2.0474266 4.3484722 3.7277272 2.2094022 4.3697580
## 157 1.0750361 2.5194290 2.6062043 1.8642172 2.6398913 2.2971934
## 133 134 135 136 137 138
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## 134 2.3412532
## 135 1.7004171 1.9105909
## 136 1.6156274 2.4209014 1.6933840
## 137 1.5494368 2.5597187 1.5463752 1.7875557
## 138 1.9929950 2.2455800 1.9288429 1.9307455 1.9113933
## 139 1.6918231 2.9075557 1.8397240 1.7676051 1.2535506 1.5631695
## 140 2.6674603 2.8418471 2.5141718 2.2725092 2.6691725 1.4058783
## 141 1.8748757 2.2472490 2.1315048 2.4683904 1.6380942 1.7770242
## 142 1.8675998 2.8578371 2.1160260 2.0048967 2.0394525 3.1896265
## 143 1.7056587 2.3648978 1.3541109 1.2183592 1.1934090 1.9383674
## 144 2.4571562 2.3548346 2.5336406 2.3567698 2.5952225 1.6424274
## 145 3.4948623 4.7049911 4.0505769 3.2969080 3.6827583 3.1607008
## 146 2.1233402 2.3111412 1.6429790 1.8175611 2.1909145 2.2185212
## 147 2.2025477 3.0054103 2.4881902 1.9129531 2.4712656 1.6911009
## 148 1.7644424 2.9725767 2.2672677 1.9803304 1.9727169 1.1410856
## 149 2.6443279 3.0391683 2.8711234 2.4114361 2.6980233 2.0870542
## 150 1.6260873 2.1697688 1.7252382 1.8632285 1.2410941 1.9614849
## 151 1.6507587 3.2521728 2.4373475 1.9982881 2.0093108 1.9869070
## 152 1.3656579 3.1276981 2.0395933 2.2869226 1.8031237 2.4817858
## 153 1.8736596 2.6241884 2.0946504 1.8854854 1.4038064 2.3893323
## 154 2.3924085 2.9873993 2.3912571 1.7334990 2.5855629 1.7280567
## 155 3.6256897 4.8299940 3.9926388 3.5373077 3.6348747 3.4361031
## 156 3.2850098 4.5365036 3.8777677 3.4503433 3.6634656 3.1419114
## 157 1.7799155 2.2314183 2.0300645 1.5736204 2.0170333 1.3210881
## 139 140 141 142 143 144
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## 140 2.1960225
## 141 1.9761681 2.9269696
## 142 2.5304477 3.5620319 3.0938573
## 143 1.2815196 2.4346526 2.1187529 1.7872603
## 144 2.4814733 1.3777126 2.9048108 3.1818473 2.4778666
## 145 3.1101774 2.5207636 4.4373931 3.9943661 3.5802185 2.7060393
## 146 2.1664316 1.9502990 3.0788549 2.2659034 1.8334725 1.7947670
## 147 1.9748407 1.2802101 2.9426524 2.9757427 2.0742698 1.4556595
## 148 1.2703599 1.4888070 2.1920244 3.0875405 2.0809973 1.9750697
## 149 2.5651506 1.4057030 3.3321969 3.2138168 2.6830309 1.0444396
## 150 1.6623607 2.4432250 2.1139017 1.9357105 1.3048121 1.9048638
## 151 1.7982258 2.0750657 2.6038232 2.8391826 2.1916886 2.1222154
## 152 1.7488957 2.8554147 2.6541963 1.8274255 1.9215362 2.6872561
## 153 1.8901135 2.8900876 2.3948656 1.6882334 1.2579344 2.3896420
## 154 2.1117452 1.1025563 3.1593247 3.1529796 2.2146787 1.5480411
## 155 3.1506480 2.7862512 4.6235340 3.8923574 3.5728253 2.8395364
## 156 3.1907633 2.4668781 4.2889437 4.0765103 3.6653719 2.5585481
## 157 1.5615741 1.4385372 2.1555271 2.8587496 1.6927710 1.6687357
## 145 146 147 148 149 150
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## 146 3.2010493
## 147 2.0530992 1.9652324
## 148 2.4766137 2.2495834 1.4762152
## 149 2.0647193 1.8257972 1.5294350 1.9648625
## 150 3.4538010 1.7011801 2.0274913 2.1517154 2.2252661
## 151 2.4991383 2.1899722 1.4866247 1.3986997 1.9814127 1.9076088
## 152 3.0978352 2.2028592 2.2074614 2.0100217 2.7213874 1.7727710
## 153 3.5338059 2.2140097 2.2329577 2.5144657 2.6256238 0.8547825
## 154 2.2541524 1.6638013 0.9837522 1.6051151 1.4284975 2.2747695
## 155 1.0661771 3.0444471 2.2884657 2.7899943 2.2273686 3.3124783
## 156 1.4305874 3.0255814 1.9550250 2.4580770 2.0840897 3.2797359
## 157 3.0828295 1.7270500 1.4806138 1.3502483 1.9221232 1.7361923
## 151 152 153 154 155 156
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## 152 1.8515490
## 153 2.1996599 1.8916235
## 154 1.6510969 2.6160923 2.6132812
## 155 2.5793966 2.9344600 3.4187333 2.4993386
## 156 2.0065047 2.8940177 3.5462931 2.1944969 1.4104823
## 157 1.6881363 2.3970628 2.1951782 1.4462885 3.3037114 2.9521948hcy = hclust(md, method = "ward.D")
plot(hcy, hang = -10)
The cluster Dendrogram suggests 2 clusters.
classes <- cutree(hcy, k=2)
classes # affectation de chaque ind a sa classe## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [38] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [75] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [112] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [149] 2 2 2 2 2 2 2 2 2table(classes)## classes
## 1 2
## 42 115plot(hcy, hang = -1)
rect.hclust(hcy, k=2, border = "red")
data.class=cbind.data.frame(data, classes)
View(data.class)
colnames(data.class)[10]="classe.cah"classes <- cutree(hcy, k=2)
classes # affectation de chaque ind a sa classe## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [38] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [75] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [112] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [149] 2 2 2 2 2 2 2 2 2table(classes)## classes
## 1 2
## 42 115plot(hcy, hang = -1)
rect.hclust(hcy, k=2, border = "red") # d'après le graphique, on remarque 3 clusters
data.class=cbind.data.frame(data, as.factor(classes))
View(data.class)
colnames(data.class)[10]=c("classe.cah")
str(data.class)## 'data.frame': 157 obs. of 22 variables:
## $ age : num 48 53 63 68 61 48 69 73 73 46 ...
## $ specific gravity : num 1 1.02 1.01 1.01 1.01 ...
## $ albumin : num 4 2 3 3 2 4 3 0 2 1 ...
## $ blood glucose random : num 117 70 380 157 173 95 264 70 253 163 ...
## $ blood urea : num 56 107 60 90 148 163 87 32 142 92 ...
## $ serum creatinine : num 3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
## $ sodium : num 111 114 131 130 135 136 130 125 138 141 ...
## $ potassium : num 2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
## $ hemoglobin : num 11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
## $ classe.cah : num 32 29 32 16 24 32 37 29 33 28 ...
## $ white blood cell count : num 6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
## $ red blood cell count : num 3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
## $ bacteria : Factor w/ 2 levels "notpresent","present": 1 1 1 2 1 1 1 1 1 1 ...
## $ pus cell : Factor w/ 2 levels "abnormal","normal": 1 1 1 1 1 1 1 2 1 2 ...
## $ hypertension : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
## $ diabetes mellitus : Factor w/ 2 levels "0","1": 1 2 2 2 2 1 2 2 2 2 ...
## $ coronary artery disease: Factor w/ 2 levels "0","1": 1 1 1 2 2 1 2 1 2 1 ...
## $ appetite : Factor w/ 2 levels "good","poor": 2 2 2 2 2 1 1 1 1 1 ...
## $ pedal edema : Factor w/ 2 levels "0","1": 2 1 2 2 2 1 2 2 1 1 ...
## $ anemia : Factor w/ 2 levels "0","1": 2 2 1 1 2 2 1 1 1 1 ...
## $ chronic kidney disease : Factor w/ 2 levels "notsick","sick": 2 2 2 2 2 2 2 2 2 2 ...
## $ as.factor(classes) : Factor w/ 2 levels "1","2": 1 1 1 1 1 1 1 1 1 1 ...catdes(data.class,num.var=21)##
## Link between the cluster variable and the categorical variables (chi-square test)
## =================================================================================
## p.value df
## as.factor(classes) 5.118585e-36 1
## hypertension 1.141654e-27 1
## pus.cell 5.679203e-23 1
## diabetes.mellitus 3.421927e-21 1
## pedal.edema 2.339270e-15 1
## appetite 8.580206e-14 1
## anemia 2.862256e-12 1
## bacteria 2.452464e-09 1
## coronary.artery.disease 1.262449e-08 1
##
## Description of each cluster by the categories
## =============================================
## $notsick
## Cla/Mod Mod/Cla Global p.value v.test
## as.factor(classes)=2 100.00000 100 73.248408 3.503773e-39 13.095281
## hypertension=0 93.49593 100 78.343949 3.608443e-27 10.795664
## pus.cell=normal 89.84375 100 81.528662 7.417814e-22 9.607713
## diabetes.mellitus=0 88.46154 100 82.802548 5.923654e-20 9.145715
## pedal.edema=0 83.94161 100 87.261146 5.342169e-14 7.523273
## appetite=good 82.73381 100 88.535032 1.856404e-12 7.044866
## anemia=0 81.56028 100 89.808917 5.637756e-11 6.553040
## bacteria=notpresent 79.31034 100 92.356688 3.634294e-08 5.507760
## coronary.artery.disease=0 78.76712 100 92.993631 1.711635e-07 5.228205
## coronary.artery.disease=1 0.00000 0 7.006369 1.711635e-07 -5.228205
## bacteria=present 0.00000 0 7.643312 3.634294e-08 -5.507760
## anemia=1 0.00000 0 10.191083 5.637756e-11 -6.553040
## appetite=poor 0.00000 0 11.464968 1.856404e-12 -7.044866
## pedal.edema=1 0.00000 0 12.738854 5.342169e-14 -7.523273
## diabetes.mellitus=1 0.00000 0 17.197452 5.923654e-20 -9.145715
## pus.cell=abnormal 0.00000 0 18.471338 7.417814e-22 -9.607713
## hypertension=1 0.00000 0 21.656051 3.608443e-27 -10.795664
## as.factor(classes)=1 0.00000 0 26.751592 3.503773e-39 -13.095281
##
## $sick
## Cla/Mod Mod/Cla Global p.value
## as.factor(classes)=1 100.000000 100.00000 26.751592 3.503773e-39
## hypertension=1 100.000000 80.95238 21.656051 3.608443e-27
## pus.cell=abnormal 100.000000 69.04762 18.471338 7.417814e-22
## diabetes.mellitus=1 100.000000 64.28571 17.197452 5.923654e-20
## pedal.edema=1 100.000000 47.61905 12.738854 5.342169e-14
## appetite=poor 100.000000 42.85714 11.464968 1.856404e-12
## anemia=1 100.000000 38.09524 10.191083 5.637756e-11
## bacteria=present 100.000000 28.57143 7.643312 3.634294e-08
## coronary.artery.disease=1 100.000000 26.19048 7.006369 1.711635e-07
## coronary.artery.disease=0 21.232877 73.80952 92.993631 1.711635e-07
## bacteria=notpresent 20.689655 71.42857 92.356688 3.634294e-08
## anemia=0 18.439716 61.90476 89.808917 5.637756e-11
## appetite=good 17.266187 57.14286 88.535032 1.856404e-12
## pedal.edema=0 16.058394 52.38095 87.261146 5.342169e-14
## diabetes.mellitus=0 11.538462 35.71429 82.802548 5.923654e-20
## pus.cell=normal 10.156250 30.95238 81.528662 7.417814e-22
## hypertension=0 6.504065 19.04762 78.343949 3.608443e-27
## as.factor(classes)=2 0.000000 0.00000 73.248408 3.503773e-39
## v.test
## as.factor(classes)=1 13.095281
## hypertension=1 10.795664
## pus.cell=abnormal 9.607713
## diabetes.mellitus=1 9.145715
## pedal.edema=1 7.523273
## appetite=poor 7.044866
## anemia=1 6.553040
## bacteria=present 5.507760
## coronary.artery.disease=1 5.228205
## coronary.artery.disease=0 -5.228205
## bacteria=notpresent -5.507760
## anemia=0 -6.553040
## appetite=good -7.044866
## pedal.edema=0 -7.523273
## diabetes.mellitus=0 -9.145715
## pus.cell=normal -9.607713
## hypertension=0 -10.795664
## as.factor(classes)=2 -13.095281
##
##
## Link between the cluster variable and the quantitative variables
## ================================================================
## Eta2 P-value
## albumin 0.86928515 2.245220e-70
## hemoglobin 0.69295681 1.388233e-41
## classe.cah 0.68666700 6.713089e-41
## specific.gravity 0.61804693 3.270736e-34
## red.blood.cell.count 0.51962544 1.854202e-26
## serum.creatinine 0.50622956 1.582836e-25
## blood.urea 0.47288790 2.589076e-23
## sodium 0.40078303 5.798881e-19
## blood.glucose.random 0.33829657 1.372724e-15
## white.blood.cell.count 0.16296872 1.582309e-07
## age 0.09102155 1.230740e-04
## potassium 0.02508767 4.755785e-02
##
## Description of each cluster by quantitative variables
## =====================================================
## $notsick
## v.test Mean in category Overall mean sd in category
## hemoglobin 10.397176 15.1521739 13.7082803 1.316672e+00
## classe.cah 10.349882 46.5130435 41.9617834 4.101676e+00
## specific.gravity 9.819130 1.0225217 1.0199363 2.499905e-03
## red.blood.cell.count 9.003420 5.3391304 4.8955414 5.909014e-01
## sodium 7.907095 141.7739130 138.9554140 4.714567e+00
## potassium -1.978302 4.3113043 4.6439490 5.951639e-01
## age -3.768204 46.6782609 49.5031847 1.522272e+01
## white.blood.cell.count -5.042134 7699.1304348 8460.5095541 1.777908e+03
## blood.glucose.random -7.264590 107.9391304 130.2484076 1.862410e+01
## blood.urea -8.588976 33.0000000 52.6878981 1.171547e+01
## serum.creatinine -8.886609 0.8713043 2.1942675 2.573325e-01
## albumin -11.645106 0.0000000 0.7961783 0.000000e+00
## Overall sd p.value
## hemoglobin 2.870162e+00 2.553908e-25
## classe.cah 9.088304e+00 4.190029e-25
## specific.gravity 5.441854e-03 9.314360e-23
## red.blood.cell.count 1.018263e+00 2.187937e-19
## sodium 7.366946e+00 2.634644e-15
## potassium 3.475159e+00 4.789470e-02
## age 1.549383e+01 1.644263e-04
## white.blood.cell.count 3.120852e+03 4.603675e-07
## blood.glucose.random 6.346890e+01 3.741719e-13
## blood.urea 4.737449e+01 8.774768e-18
## serum.creatinine 3.076793e+00 6.300248e-19
## albumin 1.413037e+00 2.430205e-31
##
## $sick
## v.test Mean in category Overall mean sd in category
## albumin 11.645106 2.976190 0.7961783 9.877366e-01
## serum.creatinine 8.886609 5.816667 2.1942675 4.158349e+00
## blood.urea 8.588976 106.595238 52.6878981 6.361157e+01
## blood.glucose.random 7.264590 191.333333 130.2484076 9.494376e+01
## white.blood.cell.count 5.042134 10545.238095 8460.5095541 4.671148e+03
## age 3.768204 57.238095 49.5031847 1.346036e+01
## potassium 1.978302 5.554762 4.6439490 6.560604e+00
## sodium -7.907095 131.238095 138.9554140 7.791355e+00
## red.blood.cell.count -9.003420 3.680952 4.8955414 9.517498e-01
## specific.gravity -9.819130 1.012857 1.0199363 5.016978e-03
## classe.cah -10.349882 29.500000 41.9617834 7.118888e+00
## hemoglobin -10.397176 9.754762 13.7082803 2.169837e+00
## Overall sd p.value
## albumin 1.413037e+00 2.430205e-31
## serum.creatinine 3.076793e+00 6.300248e-19
## blood.urea 4.737449e+01 8.774768e-18
## blood.glucose.random 6.346890e+01 3.741719e-13
## white.blood.cell.count 3.120852e+03 4.603675e-07
## age 1.549383e+01 1.644263e-04
## potassium 3.475159e+00 4.789470e-02
## sodium 7.366946e+00 2.634644e-15
## red.blood.cell.count 1.018263e+00 2.187937e-19
## specific.gravity 5.441854e-03 9.314360e-23
## classe.cah 9.088304e+00 4.190029e-25
## hemoglobin 2.870162e+00 2.553908e-25representation des classes de CAH sur un plan factoriel
res.PCA=PCA(data, quali.sup=13:21,scale.unit = TRUE, graph=F)
library(factoextra)
fviz_cluster(list(data = y, cluster = classes))
k = 2 This graph shows the 3 clusters plotted against the first two principal components of the data and which cluster each object belongs to.
k-means
Visualise cluster plot
kc=kmeans(data[,20], centers = 2, iter.max = 1000)
kc## K-means clustering with 2 clusters of sizes 16, 141
##
## Cluster means:
## anemia
## 1 1
## 2 0
##
## Clustering vector:
## [1] 1 1 2 2 1 1 2 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 1 1 2 1 1 2 2 2 1 2 1 2 2 2 2
## [38] 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [75] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [112] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [149] 2 2 2 2 2 2 2 2 2
##
## Within cluster sum of squares by cluster:
## [1] 0 0
## (between_SS / total_SS = 100.0 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"classeskmeans=kc$cluster
data.classkmeans=cbind.data.frame(data, as.factor(classeskmeans))
View(data.classkmeans)
colnames(data.classkmeans)[15]=c("classe.kmeans")
str(data.classkmeans)## 'data.frame': 157 obs. of 22 variables:
## $ age : num 48 53 63 68 61 48 69 73 73 46 ...
## $ specific gravity : num 1 1.02 1.01 1.01 1.01 ...
## $ albumin : num 4 2 3 3 2 4 3 0 2 1 ...
## $ blood glucose random : num 117 70 380 157 173 95 264 70 253 163 ...
## $ blood urea : num 56 107 60 90 148 163 87 32 142 92 ...
## $ serum creatinine : num 3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
## $ sodium : num 111 114 131 130 135 136 130 125 138 141 ...
## $ potassium : num 2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
## $ hemoglobin : num 11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
## $ packed cell volume : num 32 29 32 16 24 32 37 29 33 28 ...
## $ white blood cell count : num 6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
## $ red blood cell count : num 3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
## $ bacteria : Factor w/ 2 levels "notpresent","present": 1 1 1 2 1 1 1 1 1 1 ...
## $ pus cell : Factor w/ 2 levels "abnormal","normal": 1 1 1 1 1 1 1 2 1 2 ...
## $ classe.kmeans : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
## $ diabetes mellitus : Factor w/ 2 levels "0","1": 1 2 2 2 2 1 2 2 2 2 ...
## $ coronary artery disease : Factor w/ 2 levels "0","1": 1 1 1 2 2 1 2 1 2 1 ...
## $ appetite : Factor w/ 2 levels "good","poor": 2 2 2 2 2 1 1 1 1 1 ...
## $ pedal edema : Factor w/ 2 levels "0","1": 2 1 2 2 2 1 2 2 1 1 ...
## $ anemia : Factor w/ 2 levels "0","1": 2 2 1 1 2 2 1 1 1 1 ...
## $ chronic kidney disease : Factor w/ 2 levels "notsick","sick": 2 2 2 2 2 2 2 2 2 2 ...
## $ as.factor(classeskmeans): Factor w/ 2 levels "1","2": 1 1 2 2 1 1 2 2 2 2 ...catdes(data.classkmeans,num.var=15)##
## Link between the cluster variable and the categorical variables (chi-square test)
## =================================================================================
## p.value df
## chronic.kidney.disease 1.141654e-27 1
## diabetes.mellitus 8.022693e-23 1
## pus.cell 6.942072e-17 1
## pedal.edema 1.806808e-13 1
## appetite 1.841451e-13 1
## anemia 1.507225e-11 1
## as.factor(classeskmeans) 1.507225e-11 1
## coronary.artery.disease 6.087115e-11 1
## bacteria 8.184340e-05 1
##
## Description of each cluster by the categories
## =============================================
## $`0`
## Cla/Mod Mod/Cla Global p.value
## chronic.kidney.disease=notsick 100.000000 93.495935 73.248408 3.608443e-27
## diabetes.mellitus=0 93.076923 98.373984 82.802548 2.389448e-19
## pus.cell=normal 91.406250 95.121951 81.528662 3.701460e-14
## pedal.edema=0 87.591241 97.560976 87.261146 7.691375e-11
## appetite=good 87.050360 98.373984 88.535032 8.982820e-11
## as.factor(classeskmeans)=2 85.815603 98.373984 89.808917 3.692250e-09
## anemia=0 85.815603 98.373984 89.808917 3.692250e-09
## coronary.artery.disease=0 84.246575 100.000000 92.993631 1.143997e-08
## bacteria=notpresent 82.068966 96.747967 92.356688 6.527671e-04
## bacteria=present 33.333333 3.252033 7.643312 6.527671e-04
## coronary.artery.disease=1 0.000000 0.000000 7.006369 1.143997e-08
## as.factor(classeskmeans)=1 12.500000 1.626016 10.191083 3.692250e-09
## anemia=1 12.500000 1.626016 10.191083 3.692250e-09
## appetite=poor 11.111111 1.626016 11.464968 8.982820e-11
## pedal.edema=1 15.000000 2.439024 12.738854 7.691375e-11
## pus.cell=abnormal 20.689655 4.878049 18.471338 3.701460e-14
## diabetes.mellitus=1 7.407407 1.626016 17.197452 2.389448e-19
## chronic.kidney.disease=sick 19.047619 6.504065 26.751592 3.608443e-27
## v.test
## chronic.kidney.disease=notsick 10.795664
## diabetes.mellitus=0 8.993746
## pus.cell=normal 7.571076
## pedal.edema=0 6.506516
## appetite=good 6.483148
## as.factor(classeskmeans)=2 5.897422
## anemia=0 5.897422
## coronary.artery.disease=0 5.707869
## bacteria=notpresent 3.408685
## bacteria=present -3.408685
## coronary.artery.disease=1 -5.707869
## as.factor(classeskmeans)=1 -5.897422
## anemia=1 -5.897422
## appetite=poor -6.483148
## pedal.edema=1 -6.506516
## pus.cell=abnormal -7.571076
## diabetes.mellitus=1 -8.993746
## chronic.kidney.disease=sick -10.795664
##
## $`1`
## Cla/Mod Mod/Cla Global p.value
## chronic.kidney.disease=sick 80.952381 100.00000 26.751592 3.608443e-27
## diabetes.mellitus=1 92.592593 73.52941 17.197452 2.389448e-19
## pus.cell=abnormal 79.310345 67.64706 18.471338 3.701460e-14
## pedal.edema=1 85.000000 50.00000 12.738854 7.691375e-11
## appetite=poor 88.888889 47.05882 11.464968 8.982820e-11
## as.factor(classeskmeans)=1 87.500000 41.17647 10.191083 3.692250e-09
## anemia=1 87.500000 41.17647 10.191083 3.692250e-09
## coronary.artery.disease=1 100.000000 32.35294 7.006369 1.143997e-08
## bacteria=present 66.666667 23.52941 7.643312 6.527671e-04
## bacteria=notpresent 17.931034 76.47059 92.356688 6.527671e-04
## coronary.artery.disease=0 15.753425 67.64706 92.993631 1.143997e-08
## as.factor(classeskmeans)=2 14.184397 58.82353 89.808917 3.692250e-09
## anemia=0 14.184397 58.82353 89.808917 3.692250e-09
## appetite=good 12.949640 52.94118 88.535032 8.982820e-11
## pedal.edema=0 12.408759 50.00000 87.261146 7.691375e-11
## pus.cell=normal 8.593750 32.35294 81.528662 3.701460e-14
## diabetes.mellitus=0 6.923077 26.47059 82.802548 2.389448e-19
## chronic.kidney.disease=notsick 0.000000 0.00000 73.248408 3.608443e-27
## v.test
## chronic.kidney.disease=sick 10.795664
## diabetes.mellitus=1 8.993746
## pus.cell=abnormal 7.571076
## pedal.edema=1 6.506516
## appetite=poor 6.483148
## as.factor(classeskmeans)=1 5.897422
## anemia=1 5.897422
## coronary.artery.disease=1 5.707869
## bacteria=present 3.408685
## bacteria=notpresent -3.408685
## coronary.artery.disease=0 -5.707869
## as.factor(classeskmeans)=2 -5.897422
## anemia=0 -5.897422
## appetite=good -6.483148
## pedal.edema=0 -6.506516
## pus.cell=normal -7.571076
## diabetes.mellitus=0 -8.993746
## chronic.kidney.disease=notsick -10.795664
##
##
## Link between the cluster variable and the quantitative variables
## ================================================================
## Eta2 P-value
## albumin 0.63697242 6.277272e-36
## packed.cell.volume 0.57251360 2.097094e-30
## hemoglobin 0.56796806 4.778716e-30
## red.blood.cell.count 0.45562615 3.203033e-22
## specific.gravity 0.43774020 4.000380e-21
## serum.creatinine 0.43410126 6.622084e-21
## blood.urea 0.38852319 2.828549e-18
## blood.glucose.random 0.36289889 7.040438e-17
## sodium 0.29895328 1.280554e-13
## age 0.14074198 1.291006e-06
## white.blood.cell.count 0.05159524 4.224683e-03
## potassium 0.03329321 2.218200e-02
##
## Description of each cluster by quantitative variables
## =====================================================
## $`0`
## v.test Mean in category Overall mean sd in category
## packed.cell.volume 9.450509 45.577236 41.9617834 5.766469e+00
## hemoglobin 9.412918 14.845528 13.7082803 1.823302e+00
## red.blood.cell.count 8.430758 5.256911 4.8955414 6.813522e-01
## specific.gravity 8.263623 1.021829 1.0199363 3.839689e-03
## sodium 6.829108 141.073171 138.9554140 5.594961e+00
## potassium -2.278978 4.310569 4.6439490 6.161529e-01
## white.blood.cell.count -2.837051 8087.804878 8460.5095541 2.467927e+03
## age -4.685696 46.447154 49.5031847 1.545737e+01
## blood.glucose.random -7.524110 110.146341 130.2484076 2.363809e+01
## blood.urea -7.785218 37.162602 52.6878981 2.589735e+01
## serum.creatinine -8.229204 1.128455 2.1942675 1.442926e+00
## albumin -9.968335 0.203252 0.7961783 8.060679e-01
## Overall sd p.value
## packed.cell.volume 9.088304e+00 3.371869e-21
## hemoglobin 2.870162e+00 4.825527e-21
## red.blood.cell.count 1.018263e+00 3.434335e-17
## specific.gravity 5.441854e-03 1.413160e-16
## sodium 7.366946e+00 8.544441e-12
## potassium 3.475159e+00 2.266836e-02
## white.blood.cell.count 3.120852e+03 4.553235e-03
## age 1.549383e+01 2.790098e-06
## blood.glucose.random 6.346890e+01 5.308077e-14
## blood.urea 4.737449e+01 6.959317e-15
## serum.creatinine 3.076793e+00 1.884618e-16
## albumin 1.413037e+00 2.097154e-23
##
## $`1`
## v.test Mean in category Overall mean sd in category
## albumin 9.968335 2.941176 0.7961783 9.982684e-01
## serum.creatinine 8.229204 6.050000 2.1942675 4.147944e+00
## blood.urea 7.785218 108.852941 52.6878981 6.253664e+01
## blood.glucose.random 7.524110 202.970588 130.2484076 9.914383e+01
## age 4.685696 60.558824 49.5031847 9.387699e+00
## white.blood.cell.count 2.837051 9808.823529 8460.5095541 4.540949e+03
## potassium 2.278978 5.850000 4.6439490 7.248174e+00
## sodium -6.829108 131.294118 138.9554140 7.902082e+00
## specific.gravity -8.263623 1.013088 1.0199363 4.852941e-03
## red.blood.cell.count -8.430758 3.588235 4.8955414 9.627671e-01
## hemoglobin -9.412918 9.594118 13.7082803 2.099431e+00
## packed.cell.volume -9.450509 28.882353 41.9617834 6.538415e+00
## Overall sd p.value
## albumin 1.413037e+00 2.097154e-23
## serum.creatinine 3.076793e+00 1.884618e-16
## blood.urea 4.737449e+01 6.959317e-15
## blood.glucose.random 6.346890e+01 5.308077e-14
## age 1.549383e+01 2.790098e-06
## white.blood.cell.count 3.120852e+03 4.553235e-03
## potassium 3.475159e+00 2.266836e-02
## sodium 7.366946e+00 8.544441e-12
## specific.gravity 5.441854e-03 1.413160e-16
## red.blood.cell.count 1.018263e+00 3.434335e-17
## hemoglobin 2.870162e+00 4.825527e-21
## packed.cell.volume 9.088304e+00 3.371869e-21library(factoextra)
fviz_cluster(list(data = y, cluster = classeskmeans))
Decision Tree
We choose bacteria as our target value. Decision tree is easy to interpret,works even if there is non linear relationships between variables and is not sensitive to outliers.
library(rpart)## Warning: le package 'rpart' a été compilé avec la version R 4.1.3library(rpart.plot)## Warning: le package 'rpart.plot' a été compilé avec la version R 4.1.3Tree = rpart(data$bacteria~. ,data=data)
rpart.plot(Tree)
Now let’s define our optimal tree !
TOptimal = rpart(data$bacteria~. ,data=data, cp= 0.01000000, control=rpart.control(minsplit=9))
rpart.plot(TOptimal)
From the decision tree shown above we can conclude that any patient whose specific gravity exceeds one, is likely to have bacteria by 84%.
Now let’s randomly choose un train set !
x = sample(c(1:nrow(data)), 0.8*nrow(data))
x## [1] 46 35 96 22 40 141 47 62 131 44 57 7 106 140 31 58 54 153
## [19] 72 99 50 69 52 117 80 43 51 4 155 137 121 93 92 156 5 111
## [37] 11 122 33 60 107 13 139 86 67 124 116 146 134 25 2 123 148 119
## [55] 70 71 133 138 76 112 12 105 89 28 15 77 142 24 152 130 151 109
## [73] 144 115 38 19 132 84 56 118 1 78 154 129 68 83 63 16 147 6
## [91] 75 32 157 53 23 59 29 110 126 66 21 127 20 26 74 3 108 34
## [109] 49 55 41 73 104 98 81 9 61 143 136 82 100 14 85 39 114Split data into train and test set !
x<-sample(c(1:nrow(data)), 0.8*nrow(data))
training=data[x,]
test1=data[-x,]
test=data[-x,-2]p = predict(Tree, training)
p## notpresent present
## 1 0.3636364 0.636363636
## 2 0.9924242 0.007575758
## 3 0.9924242 0.007575758
## 4 0.9924242 0.007575758
## 5 0.9924242 0.007575758
## 6 0.9924242 0.007575758
## 7 0.9924242 0.007575758
## 8 0.7142857 0.285714286
## 9 0.9924242 0.007575758
## 10 0.9924242 0.007575758
## 11 0.9924242 0.007575758
## 12 0.9924242 0.007575758
## 13 0.9924242 0.007575758
## 14 0.9924242 0.007575758
## 15 0.9924242 0.007575758
## 16 0.9924242 0.007575758
## 17 0.9924242 0.007575758
## 18 0.3636364 0.636363636
## 19 0.7142857 0.285714286
## 20 0.9924242 0.007575758
## 21 0.9924242 0.007575758
## 22 0.3636364 0.636363636
## 23 0.9924242 0.007575758
## 24 0.9924242 0.007575758
## 25 0.9924242 0.007575758
## 26 0.7142857 0.285714286
## 27 0.9924242 0.007575758
## 28 0.9924242 0.007575758
## 29 0.9924242 0.007575758
## 30 0.9924242 0.007575758
## 31 0.3636364 0.636363636
## 32 0.9924242 0.007575758
## 33 0.7142857 0.285714286
## 34 0.9924242 0.007575758
## 35 0.7142857 0.285714286
## 36 0.9924242 0.007575758
## 37 0.9924242 0.007575758
## 38 0.9924242 0.007575758
## 39 0.9924242 0.007575758
## 40 0.9924242 0.007575758
## 41 0.9924242 0.007575758
## 42 0.9924242 0.007575758
## 43 0.9924242 0.007575758
## 44 0.9924242 0.007575758
## 45 0.9924242 0.007575758
## 46 0.9924242 0.007575758
## 47 0.9924242 0.007575758
## 48 0.9924242 0.007575758
## 49 0.9924242 0.007575758
## 50 0.9924242 0.007575758
## 51 0.9924242 0.007575758
## 52 0.9924242 0.007575758
## 53 0.9924242 0.007575758
## 54 0.9924242 0.007575758
## 55 0.7142857 0.285714286
## 56 0.7142857 0.285714286
## 57 0.9924242 0.007575758
## 58 0.9924242 0.007575758
## 59 0.9924242 0.007575758
## 60 0.9924242 0.007575758
## 61 0.9924242 0.007575758
## 62 0.3636364 0.636363636
## 63 0.9924242 0.007575758
## 64 0.3636364 0.636363636
## 65 0.9924242 0.007575758
## 66 0.9924242 0.007575758
## 67 0.9924242 0.007575758
## 68 0.3636364 0.636363636
## 69 0.9924242 0.007575758
## 70 0.9924242 0.007575758
## 71 0.9924242 0.007575758
## 72 0.9924242 0.007575758
## 73 0.7142857 0.285714286
## 74 0.9924242 0.007575758
## 75 0.9924242 0.007575758
## 76 0.9924242 0.007575758
## 77 0.9924242 0.007575758
## 78 0.9924242 0.007575758
## 79 0.9924242 0.007575758
## 80 0.9924242 0.007575758
## 81 0.9924242 0.007575758
## 82 0.9924242 0.007575758
## 83 0.9924242 0.007575758
## 84 0.7142857 0.285714286
## 85 0.9924242 0.007575758
## 86 0.3636364 0.636363636
## 87 0.9924242 0.007575758
## 88 0.9924242 0.007575758
## 89 0.7142857 0.285714286
## 90 0.9924242 0.007575758
## 91 0.9924242 0.007575758
## 92 0.9924242 0.007575758
## 93 0.9924242 0.007575758
## 94 0.9924242 0.007575758
## 95 0.9924242 0.007575758
## 96 0.7142857 0.285714286
## 97 0.9924242 0.007575758
## 98 0.9924242 0.007575758
## 99 0.7142857 0.285714286
## 100 0.9924242 0.007575758
## 101 0.9924242 0.007575758
## 102 0.9924242 0.007575758
## 103 0.7142857 0.285714286
## 104 0.9924242 0.007575758
## 105 0.9924242 0.007575758
## 106 0.9924242 0.007575758
## 107 0.9924242 0.007575758
## 108 0.9924242 0.007575758
## 109 0.9924242 0.007575758
## 110 0.9924242 0.007575758
## 111 0.9924242 0.007575758
## 112 0.9924242 0.007575758
## 113 0.9924242 0.007575758
## 114 0.3636364 0.636363636
## 115 0.3636364 0.636363636
## 116 0.9924242 0.007575758
## 117 0.9924242 0.007575758
## 118 0.9924242 0.007575758
## 119 0.9924242 0.007575758
## 120 0.9924242 0.007575758
## 121 0.9924242 0.007575758
## 122 0.9924242 0.007575758
## 123 0.9924242 0.007575758
## 124 0.9924242 0.007575758
## 125 0.9924242 0.007575758sum(diag(p))/sum(p)## [1] 0.002969697conclusion : The decision tree doesn’t give us an accurate prediction